Question

How do you find the limit of `1 / (x-3)` as x approaches 3?

Answer 1

`lim_(xrarr3)1/(x-3)=`does not exist

Explanation:

Given,

`lim_(xrarr3)1/(x-3)`

Substitute `x=3`.

`=lim_(xrarr3)1/(3-3)`

`=lim_(xrarr3)1/0`

Since you cannot divide a value by `0`, the limit does not exist.

`=`does not exist (D.N.E.)