# What is #lim x → ∞ cos(1/x)/(1+1/x)# ?

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#lim x → ∞ cos(1/x)/(1+1/x)#

##### 1 Answer

Apr 22, 2018

The limit of the required function would be 1.

#### Explanation:

First look at the limit of

as

Thus

Then look at the limit of the bottom line:

Putting the numerator and denominator together we get: