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 : 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 : 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 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 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 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 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 5) sqrt(25-x^(2))`.
Last Answer : Evaluate: `lim_(x rarr 5) sqrt(25-x^(2))`.
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 : 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 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 : 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 2) (2x-2)`.
Last Answer : Evaluate `lim_(x rarr 2) (2x-2)`.
Description : A pair of linear equations which has a unique solution x = 2, y = -3 is (a) x + y = -1 ; 2x – 3y = -5 (b) 2x + 5y = -11 ; 4x + 10y = -22(c) 2x – y = 1 ; 3x + 2y = 0 (d) x – 4y – 14 = 0 ;5x – y – 13 = 0
Last Answer : (d) x – 4y – 14 = 0 ;5x – y – 13 = 0
Description : `lim_(x rarr 0) (x^(2)+8x)/(x)=`_________.
Last Answer : `lim_(x rarr 0) (x^(2)+8x)/(x)=`_________.
Description : Solve the following inequlities `(i) sqrt(x-1) lt x-3` `(ii) sqrt(x-3) gt sqrt(7-x)` `(iii) sqrt (x^(2)+4x+9) gt x +2` `(iv) 4-x lt sqrt(2x-x^(2))` `(
Last Answer : Solve the following inequlities `(i) sqrt(x-1) lt x-3` `(ii) sqrt(x-3) gt sqrt(7-x)` `(iii) sqrt (x^(2)+4x+ ... (ix) (|x+2|-|x|)/(sqrt(8-x^(3))) ge 0`
Description : All solutions of the linear equation 2x + 3y = 7 are also the solutions of equation (a) 5x + 6y = 13 (b) 4x + 6y = 11 (c) 6x + 9y = 7 (d) 6x + 9y = 21
Last Answer : (d) 6x + 9y = 21
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 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 -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 : `lim_(x rarr 0^(-))(|x|)/(x)=`_______.
Last Answer : `lim_(x rarr 0^(-))(|x|)/(x)=`_______.
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 oo) (11|x|+7)/(8|x|-9)`.
Last Answer : Evaluate: `lim_(x rarr oo) (11|x|+7)/(8|x|-9)`.
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 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 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 : 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: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`
Last Answer : Evaluate: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`
Description : `(i) int(1)/(5x+1)dx " "(ii)int(1)/(sqrt(x+1+)sqrt(x))dx`
Last Answer : `(i) int(1)/(5x+1)dx " "(ii)int(1)/(sqrt(x+1+)sqrt(x))dx`
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 : 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) (n(n+1))/(n^(2))=`________.
Last Answer : `lim_(n rarr oo) (n(n+1))/(n^(2))=`________.
Description : If 5x plus 4x 54 then x?
Last Answer : If you mean 5x+4x = 54 then the value of x is 6
Description : How many solutions are there to the equation below 4x - 9(x plus 1) 20 - 5x?
Last Answer : What is the answer ?
Description : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Last Answer : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Description : `int(1)/(sqrt(4x^(2)-x+4))dx`
Last Answer : `int(1)/(sqrt(4x^(2)-x+4))dx`
Description : `int(1dx)/((x-2)sqrt(x^(2)-4x+3) `
Last Answer : `int(1dx)/((x-2)sqrt(x^(2)-4x+3) `