Question

Discuss the continuity on 0 ≤ x ≤ 1 & differentiability at x = 0 for the function. f(x) = x.sin(1/x). sin(1/x.sin(1/x)) where x ≠ 0, x ≠ 1/rπ & f(0) = f(1/rπ) = 0, r = 1, 2, 3, ......

Answer 1

= DNE

so f(x) is not differentiable at x = 0