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Let f(x)=(1+(1)/(x))^(x)(xgt0) and g(x)=...

Let `f(x)=(1+(1)/(x))^(x)(xgt0)` and `g(x)={:{(xln(1+1/x)",",if0ltxle1),(" "0",",ifx=0):}`

`lim_(xto0^(+))g(x)`

A

(a) is equal to `0`

B

(b) is equal to `1`

C

(c) is equal to `e`

D

(d) is non-existent

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