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The integer n for which ("lim")(xvec0)((...

The integer `n` for which `("lim")_(xvec0)((cosx-1)(cosx-ehatx)/(x^n)` is finite nonzero number is ________

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The integer n for which lim_(x->0)((cosx-1)(cosx-e^x))/(x^n) is finite nonzero number is ________

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