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Question #c1e0d

1 Answer

Jan 13, 2017

#lim_(x->oo)(x/(x+1))^x = 1/e#

Explanation:

You can write:

#(x/(x+1))^x = 1/((x+1)/x)^x = 1/((1+1/x)^x#

As:

#lim_(x->oo) (1+1/x)^x = e#

then:

#lim_(x->oo)(x/(x+1))^x = 1/e#

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