If f(x) = x^2 + x^2/(1+x^2) + x^2/(1+x^2)^2 + ... +x^2/(1+x^2)^n + ..., then at x = 0,

Question

If \(f(x) = x^2+\frac{x^2}{1+x^2}+\frac{x^2}{(1+x^2)^2}+ ... +\frac{x^2}{(1+x^2)^n}+ ...,\) then at x = 0, f(x)

A. has no limit

B. is discontinuous

C. in continuous but not differentiable

D. is differentiable

Answer 1

Correct answer is B.

So, f(x) is discontinuous at x = 0.