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Answer to Question #1956 in Calculus for Vigi

Question #1956
Evaluate the limit. (If you need to use -infinity or infinity, enter -INFINITY or INFINITY.)

lim x->0 (e^x-e^-x-2x)/(x-sin(x))
Expert's answer
lim x->0 (ex-e-x-2x)/(x-sin(x)) = lim x->0 (ex+e-x-2)/(1-cos(x)) = lim x->0 (ex-e-x)/(-sin(x))=lim x->0 (ex+e-x)/(-cos(x)) ->2/(-1) = -2

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