Question

How do you solve this kind of problem? I don't understand it. Thank you!

Answer 1

as x approaches 0

the first way would be to evaluate it which doesn't work because we divide by 0
hmm, we could expand
ya, ok,

so
if we expand, we get

`(x^3+6x^2+12x+8-8)/(x)=(x^3+6x^2+12x)/(x)=`

`(x(x^2+6x+12))/(x)=x^2+6x+12`
we can now evaluate for x=0

`0^2+6(0)+12=0+0+12=12`

the value of the limit is 12