If f is an even function such that _ h 0^ + f( ~h )-f(0) h has some finite non-zero…

Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability

1. f is continuous and derivable at x = 0
2. f is continuous but not derivable at x = 0
3. f may be discontinuous at x = 0
4. None of these

Answer

(B) f is continuous but not derivable at x = 0

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