Question

How do you evaluate the limit `lim(x^2+2x)/(x^2-3x-10)dx` as `x->4`?

Answer 1

`-4`

Explanation:

`"we can evaluate the limit by direct substitution"`

`rArrlim_(xto4)(x^2+2x)/(x^2-3x-10)`

`=(16+8)/(16-12-10)=24/(-6)=-4`
graph{(x^2+2x)/(x^2-3x-10) [-14.24, 14.24, -7.12, 7.12]}