Minimum nn

Calculus Level 4

limx0(1cosx)(sinxx)(ex+ex2)xn \large \lim_{x \to 0} \frac {(1-\cos x)(\sin x-x)(e^{x}+e^{-x}-2)}{x^{n}}

Find the minimum integer of nn such that the limit above is finite and non-zero.

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