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 : 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 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 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 : 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 : 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 : 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 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 : Evaluate `lim_(x rarr 2) (2x-2)`.
Last Answer : Evaluate `lim_(x rarr 2) (2x-2)`.
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 : 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_(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 1) (root(5)(x)-1)/(root(4)(x)-1)=`_______.
Last Answer : `lim_(x rarr 1) (root(5)(x)-1)/(root(4)(x)-1)=`_______.
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 : `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 : `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 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 : 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 : 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 3)sqrt(9-x^(2))=`_______.
Last Answer : `lim_(x rarr 3)sqrt(9-x^(2))=`_______.
Description : `lim_(x rarr 0^(-))(|x|)/(x)=`_______.
Last Answer : `lim_(x rarr 0^(-))(|x|)/(x)=`_______.
Description : `lim_(x rarr oo) (7x-3)/(8x-10)=`_______.
Last Answer : `lim_(x rarr oo) (7x-3)/(8x-10)=`_______.
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 : `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 0) (x^(2)+8x)/(x)=`_________.
Last Answer : `lim_(x rarr 0) (x^(2)+8x)/(x)=`_________.
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 the following. (i) fifth root of `243` (ii) Seventh root of `(0.0000128)`
Last Answer : Evaluate the following. (i) fifth root of `243` (ii) Seventh root of `(0.0000128)`
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 : `lim_(n rarr oo) (n(n+1))/(n^(2))=`________.
Last Answer : `lim_(n rarr oo) (n(n+1))/(n^(2))=`________.
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 : 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 : Simplify: ( 3125/243) to the power -4/5. -Maths 9th
Last Answer : Solution :-
Description : Find the value of: 4/(216)to the power -2/3 + 1/(256) to the power -3/4 + 2/(243) to the power -1/5. -Maths 9th
Description : Find the value of : 4/(216) to the power -2/5 + 1/(256) to the power -3/4 + 2/(243) to the power -1/5. -Maths 9th
Description : (1) If `5^(n+2)=625 ,f i n d[(n+3)]^(1/3)`: (2) If `(32/243)^n=8/27 ,f i n d((n+0. 4)/1024)^(-n)`
Last Answer : (1) If `5^(n+2)=625 ,f i n d[(n+3)]^(1/3)`: (2) If `(32/243)^n=8/27 ,f i n d((n+0. 4)/1024)^(-n)`
Description : In a mixture of milk and water, their ratio is 5:6 respectively in the first container. And the same mixture has ratio 7:2 respectively in the second container. What is the ratio should the mixture be extracted from each ... third container? a) 99:253 b) 253:99 c) 243:88 d) 88:243 e) None of these
Last Answer : Answer: B x litres of mixture be taken from the first container and poured into the third container. Let y litres of mixture be taken from the second container and poured into the third container. Quantity of milk in x ... 22y)/99)=6/5 =>324x-225x=385y-132y =>99x=253y =>x/y=253/99 =253 :99
Description : The bond energies of `F_(2),Cl_(2),Br_(2)` and `I_(2)` are 155.4, 243.6, 193.2 and `151.2 Kjmol^(-1)` respectively. The strongest bond is :
Last Answer : The bond energies of `F_(2),Cl_(2),Br_(2)` and `I_(2)` are 155.4, 243.6, 193.2 and `151.2 Kjmol^(-1)` ... . F -F B. Cl - Cl C. Br - Br D. I - I
Description : Is 2.43 greater than 0.243?
Last Answer : yes10 times greater
Description : What number multiplied by itself 3 times equals 243?
Last Answer : 6.240251477 cubed is 343
Description : What number is multiplied 3 times itself to equal 243?