If `(x^(2)+10)/((x^(2)+1)^(2))=(k)/(x^(2)+1)+(9)/((x^(2)+1)^(2)),`then the value of "k" is

If the third derivative of (x^(4))/((x-1)(x-2)) is (-12k)/((x-2)^(4))+(6)/((x-1)^(4)) , then the value of k is

If x is very small in magnitude compared with a such that ((a)/(a+ x))^(1//2) + ((a)/(a-x))^(1//2) = 2 + k (x^(2))/(a^(2)) , then the value of k, is

If f(x)=(4x(x^(2)+1))/(x^(2)+(x^(2)+1)^(2)),x>=0 then the maximum value of f(x)=k. The value of (5)/(2)k is :

If int_((1)/(2))^(2)(1)/(x)cos ec^(101)(x-(1)/(x))dx=k then the value of k is:

Let k(x)=int((x^(2)+1)/((x^(3)+3x+6)^((1)/(3)))dx and k(-1)=(1)/(2^((1)/(3))), the value of k(-2) is

Evaluate, lim_(x to 1) (x^(4)-1)/(x-1)=lim_(x to k) (x^(3)-k^(3))/(x^(2)-k^(2)) , then find the value of k.

Let lim_(x rarr1)(x^(4)-1)/(x-1)=lim_(k rarr k)(x^(3)-k^(3))/(x^(2)-k^(2)) then value of k is