Question

How do you determine the limit of `(x+1)/(x^2(x+4))` as x approaches 0?

Answer 1

`= oo`

Explanation:

`lim_(x to 0) (x+1)/(x^2(x+4))`

limit of product is product of limits
`= lim_(x to 0) 1/x^2 * lim_(x to 0) (x+1)/(x+4)`

`= lim_(x to 0) 1/x^2 * 1/4 = oo`