Monday, September 12, 2016

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

Is it possible to find limx0sin(1cos(x))x2ex



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

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...