Asked by chrystabelle

find the limit as x approaches zero for (2+x)^3 -8/x

Answers

Answered by Damon
undefined due to 0 in denominator
Answered by Steve
Actually, we have 0/0

lim[(2+x)^3 - 8]/x
= lim(3(2+x)^2)/1
= 3(4) = 12

Or, you can expand to get

(8 + 12x + 12x^2 + x^3 - 8)/x
= (12x + 12x^2 + x^3)/x
= 12 + 12x + x^2
= 12 as x->0
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions