Sunday, 31 July 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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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...