Question

The function f(x) = x tan-1 1/x for x ≠ 0, f(0) = 0 is :

(A) continuous at x = 0 but not differentiable at x = 0

(B) Differentiable at x = 0

(C) Neither continuous at x = 0 nor differentiable at x = 0

(D) Not continuous at x = 0

Answer 1

Correct option (A) continuous at x = 0 but not differentiable at x = 0

Explanation:

Since

f is continuous , but

does not exit, so not differentiable at x = 0