Question

How do you evaluate the limit `(1/2+1/x)/(x+2)` as x approaches `2`?

Answer 1

`1/4`

Explanation:

`lim_(xrarr2)(1/2+1/x)/(x+2)`

We can directly substitute `2` into the function.

`=(1/2+1/2)/(2+2)=1/4`