What is the limit of(1+(1/x))^5x as x approaches infinity?

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Answer 1 · 2018-03-09T13:18:51

#e^5#

#color(red)(lim_(n to oo)(1+1/n)^n=e)#
#L=lim_(x to oo)(1+1/x)^(5x)#
#=[lim_(x to oo)(1+1/x)^x]^5=e^5#