Question

How do you find the limit of `(1)/(x-2)` as x approaches `2^+`?

Answer 1

`lim_(xrarr2^+)1/(x-2)=+oo`

Explanation:

As `xrarrs^+`
`color(white)("XXX")x-2 rarr 0` but remains positive.

Therefore
`color(white)("XXX")1/(x-2)` remains positive.

and since `(x-2)rarr 0`
`color(white)("XXX")1/(x-2)rarr +oo`