Question

Limite (1+(1)/5x)^x, x-->∞

Answer 1

Resposta:

Lim (1+1/(5x))^x

x-->∞

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Limite Fundamental

lim (1+1/x)^x=e

x-->∞

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fazendo u=5x      ...x-->∞   ==> 5x -->∞   ==> u--> ∞

lim (1+1/u)^u/5

u-->∞

lim [ (1+1/u)^u]^(1/5)  =  e^(1/5)

u-->∞