Limit Problem: Solving (x+2)/(x3+8) without a Calculator

[Squiller]

I can't seem to figure this out, its very simple. I am just unsure as to how to o about it. Could someone please solve it, showing the method. No calculator either. thanks

Lim as x-> -2 ; (x+2) / (x³+8)

 

[Redbelly98]

Problems like this usually involve factoring the polynomials involved. Try doing that.

 

[sutupidmath]

yeah, like already said, you need to factor the denominator. I assume you are familiar with the sum of cubes:

$$a^3+b^3=(a+b)(a^2-ab+b^2)$$ this is all you need to factor the denominator.