Saturday, October 20, 2018

calculus - Is it possible to find the limit without l'Hopital's Rule or series

Is it possible to find $$\lim_{x\to0}\frac{\sin(1-\cos(x))}{x^2e^x}$$
without using L'Hopital's Rule or Series or anything complex but just basic knowledge (definition of a limit, limit laws, and algebraic expansion / cancelling?)

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analysis - Injection, making bijection

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