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lim(x rarr0)((tan x)/(x))^((1)/(x^(2)))...

lim_(x rarr0)((tan x)/(x))^((1)/(x^(2)))

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lim_(x rarr 0)(tan x)/(x) is :

lim_(x rarr0)[(x)/([x])]=

lim_(x rarr0)[sin x]