Find the set of values of x for which the inequality `In(1+x)>x/(1+x)` is valid.

Find the set of values of x for which the binomial expansion ( 3- 4x) ^( 3//4) is valid.

Find the possible set of values of x for which expansion of (3-2x)^(1//2) is valid in ascending powers of x.

The set of values of x for which the inequality |x-1|+|x+1|lt 4 always holds true, is

The set of values of x for which the inequality |x-1|+|x+1| lt 4 always holds true is :

The set of values of x for which the inequality |x-1|+|x+1|lt 4 always holds true, is

Find all values of k for which the inequality, 2x^(2)-4k^(2)x-k^(2)+1gt0 is valid for all real x which do not exceed unity in the absolute value.

Find the set of values of x for which the binomial expansions of the following are valid. (4-(x)/(3))^(-1//2)