Description : `lim_(x rarr 3) (log(2x-3)-log(3x + 2))/(log(2x +1))=`_______.
Last Answer : `lim_(x rarr 3) (log(2x-3)-log(3x + 2))/(log(2x +1))=`_______.
Description : `lim_(x rarr 5) (sqrt(x)-sqrt(5))/(x-5)=`_______.
Last Answer : `lim_(x rarr 5) (sqrt(x)-sqrt(5))/(x-5)=`_______.
Description : `lim_(x rarr 3)sqrt(9-x^(2))=`_______.
Last Answer : `lim_(x rarr 3)sqrt(9-x^(2))=`_______.
Description : `lim_(x rarr oo) (7x-3)/(8x-10)=`_______.
Last Answer : `lim_(x rarr oo) (7x-3)/(8x-10)=`_______.
Description : `lim_(x rarr 1) (root(5)(x)-1)/(root(4)(x)-1)=`_______.
Last Answer : `lim_(x rarr 1) (root(5)(x)-1)/(root(4)(x)-1)=`_______.
Description : Evaluate: `lim_(x rarr 0) (sqrt(5+x)-sqrt(5-x))/(sqrt(10+x)-sqrt(10-x))`.
Last Answer : Evaluate: `lim_(x rarr 0) (sqrt(5+x)-sqrt(5-x))/(sqrt(10+x)-sqrt(10-x))`.
Description : If `lim_(x rarr 0) [(2x^(2)+3x+b)/(x^(2)+4x+3)]=2`, then the value of b is ______.
Last Answer : If `lim_(x rarr 0) [(2x^(2)+3x+b)/(x^(2)+4x+3)]=2`, then the value of b is ______.
Description : `lim_(x rarr 0) (x^(2)+8x)/(x)=`_________.
Last Answer : `lim_(x rarr 0) (x^(2)+8x)/(x)=`_________.
Description : `lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))=`_________.
Last Answer : `lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))=`_________.
Description : Evaluate: `lim_(x rarr a) (sqrt(x+a)-sqrt(2a))/(x-a)`.
Last Answer : Evaluate: `lim_(x rarr a) (sqrt(x+a)-sqrt(2a))/(x-a)`.
Description : Evaluate: `lim_(x rarr 1) [(x^(4)-2x^(3)-x^(2)+2x)/(x-1)]`.
Last Answer : Evaluate: `lim_(x rarr 1) [(x^(4)-2x^(3)-x^(2)+2x)/(x-1)]`.
Description : `lim_(x rarr oo) (x^(n)+a^(n))/(x^(n)-a^(n))=`________.
Last Answer : `lim_(x rarr oo) (x^(n)+a^(n))/(x^(n)-a^(n))=`________.
Description : Evaluate: `lim_(x rarr 2) (x-2)/(sqrt(x+2)-2)`.
Last Answer : Evaluate: `lim_(x rarr 2) (x-2)/(sqrt(x+2)-2)`.
Description : Evaluate: `lim_(x rarr a) (x^(14)-a^(14))/(x^(-7)-a^(-7))`.
Last Answer : Evaluate: `lim_(x rarr a) (x^(14)-a^(14))/(x^(-7)-a^(-7))`.
Description : `lim_(x rarr 4^(-)) (|x-4|)/(x-4)=` ________.
Last Answer : `lim_(x rarr 4^(-)) (|x-4|)/(x-4)=` ________.
Description : If `lim_(x rarr -3) (x^(k)+3^(k))/(x+3)=405`, where k is an odd natural number then, k = ________.
Last Answer : If `lim_(x rarr -3) (x^(k)+3^(k))/(x+3)=405`, where k is an odd natural number then, k = ________.
Description : Evaluate: `lim_(x rarr 5) sqrt(25-x^(2))`.
Last Answer : Evaluate: `lim_(x rarr 5) sqrt(25-x^(2))`.
Description : Evaluate: `lim_(x rarr 1) [(x^(2)+3x+2)/(x^(2)-5x+3)]`.
Last Answer : Evaluate: `lim_(x rarr 1) [(x^(2)+3x+2)/(x^(2)-5x+3)]`.
Description : Evaluate: `lim_(x rarr -2) (x^(7)+128)/(x+2)`.
Last Answer : Evaluate: `lim_(x rarr -2) (x^(7)+128)/(x+2)`.
Description : Evaluate: `lim_(x rarr a) (x^(1//4)-a^(1//4))/(x^(4)-a^(4))`.
Last Answer : Evaluate: `lim_(x rarr a) (x^(1//4)-a^(1//4))/(x^(4)-a^(4))`.
Description : Evaluate: `lim_(x rarr oo) [(x^(2)+x+6)/(x+1)]`.
Last Answer : Evaluate: `lim_(x rarr oo) [(x^(2)+x+6)/(x+1)]`.
Description : Evaluate: `lim_(x rarr 3) [(x^(3)-27)/(x-3)]`.
Last Answer : Evaluate: `lim_(x rarr 3) [(x^(3)-27)/(x-3)]`.
Description : What is the value of `lim_(x rarr 1) (x^(3)+1)(x^(2)-2x+4)`?
Last Answer : What is the value of `lim_(x rarr 1) (x^(3)+1)(x^(2)-2x+4)`?
Description : Evaluate: `lim_(x rarr a) [(x^(n)-a^(n))/(x^(m)-a^(m))]`.
Last Answer : Evaluate: `lim_(x rarr a) [(x^(n)-a^(n))/(x^(m)-a^(m))]`.
Description : Evaluate: `lim_(x rarr 3) (|x-3|)/(x-3)`.
Last Answer : Evaluate: `lim_(x rarr 3) (|x-3|)/(x-3)`.
Description : Evaluate: `lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16)`.
Last Answer : Evaluate: `lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16)`.
Description : Evaluate: `lim_(x rarr 3)(x^(5)-243)/(x-3)`.
Last Answer : Evaluate: `lim_(x rarr 3)(x^(5)-243)/(x-3)`.
Description : Evaluate: `lim_(x rarr 2) [(2x^(2)-9x+10)/(5x^(2)-5x-10)]`.
Last Answer : Evaluate: `lim_(x rarr 2) [(2x^(2)-9x+10)/(5x^(2)-5x-10)]`.
Description : Evaluate: `lim_(x rarr oo) (11|x|+7)/(8|x|-9)`.
Last Answer : Evaluate: `lim_(x rarr oo) (11|x|+7)/(8|x|-9)`.
Description : In finding `lim_(x rarr a) f(x)`, we replace x by `(1)/(n)`, then the limit becomes _____.
Last Answer : In finding `lim_(x rarr a) f(x)`, we replace x by `(1)/(n)`, then the limit becomes _____.
Description : Evaluate `lim_(x rarr 2) (2x-2)`.
Last Answer : Evaluate `lim_(x rarr 2) (2x-2)`.
Description : `lim_(x rarr -a) (x^(n)+a^(n))/(x+a)` (where n is an odd natural number)
Last Answer : `lim_(x rarr -a) (x^(n)+a^(n))/(x+a)` (where n is an odd natural number)
Description : `lim_(x rarr a)x^(n) + ax^(n-1) +a^(2)x^(n-2) + .........+a^(n)=`________.
Last Answer : `lim_(x rarr a)x^(n) + ax^(n-1) +a^(2)x^(n-2) + .........+a^(n)=`________.
Description : Evaluate: `lim_(n rarr oo) (sum_(r=0)^( n) (1)/(2^(r)))`.
Last Answer : Evaluate: `lim_(n rarr oo) (sum_(r=0)^( n) (1)/(2^(r)))`.
Description : `lim_(n rarr oo) (1+3+5+7+...."n terms")/(2+4+6+8+...."n terms")=`_____.
Last Answer : `lim_(n rarr oo) (1+3+5+7+...."n terms")/(2+4+6+8+...."n terms")=`_____.
Description : Evaluate: `lim_(n rarr oo) (n^(2)(1+2+3+4+......+n))/(n^(4)+4n^(2))`.
Last Answer : Evaluate: `lim_(n rarr oo) (n^(2)(1+2+3+4+......+n))/(n^(4)+4n^(2))`.
Description : Evaluate: `lim_(n rarr oo) (n(1+4+9+16+......+n^(2)))/(n^(4)+8n^(3))`.
Last Answer : Evaluate: `lim_(n rarr oo) (n(1+4+9+16+......+n^(2)))/(n^(4)+8n^(3))`.
Description : `lim_(n rarr oo) (n(n+1))/(n^(2))=`________.
Last Answer : `lim_(n rarr oo) (n(n+1))/(n^(2))=`________.
Description : If `y(x)` is the solution of the differential equation `(dy)/(dx)=-2x(y-1)` with `y(0)=1`, then `lim_(xrarroo)y(x)` equals
Last Answer : If `y(x)` is the solution of the differential equation `(dy)/(dx)=-2x(y-1)` with `y(0)=1`, then `lim_(xrarroo)y(x)` equals
Description : Evaluate: `lim_underset(x rarr 0) (sqrt(1+x+x^(2)+x^(3))-1)/(x)`.
Last Answer : Evaluate: `lim_underset(x rarr 0) (sqrt(1+x+x^(2)+x^(3))-1)/(x)`.
Description : Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is
Last Answer : Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is A. `cos (1/3 ... /3+1/3 cos^(-1) x)` D. `sin (1/3 sin^(-1) x)`
Description : Given that `,` `A(s) rarr A(l)DeltaH=x` `A(l) rarr A(g), DeltaH=y` The heat of sublimation of `A` will be `:`
Last Answer : Given that `,` `A(s) rarr A(l)DeltaH=x` `A(l) rarr A(g), DeltaH=y` The heat of sublimation of `A` will be `:` A. x + y B. x - y C. x or y D. `(x+y)`
Description : `2CO_((g))+O_(2(g))rarr 2CO_(2(g))+X` KJ In the above equation X KJ refers to :
Last Answer : `2CO_((g))+O_(2(g))rarr 2CO_(2(g))+X` KJ In the above equation X KJ refers to : ... Heat of vapourisation C. Heat of reaction D. Heat of sublimation
Description : `X underset("ether")overset(Mg)rarrY underset(H^(+))overset("Dry " CO_(2))rarr X overset("hot " KMnO_(4))rarrP` The two isomeric compounds which will
Last Answer : `X underset("ether")overset(Mg)rarrY underset(H^(+))overset("Dry " CO_(2))rarr X overset("hot " KMnO_(4)) ... B. III and IV C. I and IV D. II and III
Description : `xP_(4) + y SO_(2)Cl_(2) rarr` then y/x ?
Last Answer : `xP_(4) + y SO_(2)Cl_(2) rarr` then y/x ?
Description : `PH_(3) ("anhydrous") + HBr ("anhydrous") rarr X`. Identify X ?
Last Answer : `PH_(3) ("anhydrous") + HBr ("anhydrous") rarr X`. Identify X ? A. `H_(3)BrO_(3)` B. `PH_(4)Br` C. `Br_(2)` D. `P_(4)`
Description : `[X]+H_(2)SO_(4) rarr [Y]` a colourless gas with irritating smell `[Y] + K_(2)Cr_(2)O_(7) + H_(2)SO_(4) rarr` green solution `[X]` and `[Y]` are
Last Answer : `[X]+H_(2)SO_(4) rarr [Y]` a colourless gas with irritating smell `[Y] + K_(2)Cr_(2)O_(7) + H_(2)SO_(4) rarr ... 2-), H_(2)S` D. `CO_(3)^(2-), CO_(2)`
Description : Uranium `._(92)U^(238)` decayed to `._(82)Pb^(206)`. They decay process is `._(92)U^(238) underset((x alpha, y beta))(rarr ._(82)Pb^(206))` `t_(1//2)`
Last Answer : Uranium `._(92)U^(238)` decayed to `._(82)Pb^(206)`. They decay process is `._(92)U^(238) underset((x alpha ... 2.303)/(4.5 xx 10^(9)) xx 0.693 log 4`