The statement implies that

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The statement lim⁡h→0f(−x)−f(−x−h)h=lim⁡h→0f(x)−f(x−h)−h\lim_{h\to0}\frac{f(-x)-f(-x-h)}{h}=\lim_{h\to0}\frac{f(x)-f(x-h)}{-h} implies that, for all x∈Rx\in\mathbb{R}, (1) ff is odd (2) ff is even (3) ff is neither even nor odd (4) Nothing can be concluded

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