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

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Gloria F.
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Aug 6, 2016

#### Answer:

Make the limit of (1+(1/x))^x as x approaches infinity equal to any variable e.g. y, k. and take the natural logarithm of both sides.

#### Explanation:

if x is substituted directly, the value will be undefined, so

l'hopital's rule is applied.

l'hopital's rule says that if

then

substitute for x

introduce exponential

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