Evaluate the limit as h approaches zero of

(the cubed root of 8-h)-2/h.
Can also be written ((8-h)^1/3)-2)/h

1 answer

let (8-h)^(1/3) = x
cube both sides
8-h = x^3
h = 8-x^3
as h--->0 , x ----> 2

so we write our limit as

lim (x - 2)/(8 - x^3) as x --> 2
= lim (x-2)/((x-2)(x^2 + 2x + 4) as x--2
= lim 1/(x^2 + 2x + 4)
= 1/(4+4+4) = 1/12
Similar Questions
  1. limit as h approaches 0cubed root of 8+h -2 divided by h the cubed root sign is under 8+h and not -2 A. 1/12 B.1/4 C.root 2 over
    1. answers icon 2 answers
  2. Evaluate the limit:Limit as x approaches 6 from the right: Sq.root of (x - 6). I know the limit is 0, but how do I show this?
    1. answers icon 0 answers
    1. answers icon 1 answer
    1. answers icon 0 answers
more similar questions