evaluate the limit

as lim h goes to 0

((2+h)^3 - 8)/h

the answer is twelve but I don't know how to factor out the cube

1 answer

expand the (2+h) term

(2+h)(4+4h+h^2)
8+8h+2h^2+4h+4h^2+h^3
then, in the numerator, subtract 8 so the result is
12h+6h^2+h^3
divided by the denominator h
12+6h+h^2 and the limit as h>>zero is 12
Similar Questions
    1. answers icon 2 answers
    1. answers icon 1 answer
  1. Evaluate these limits.(Enter answer as a decimal. Enter INF if the limit is +∞; -INF if the limit is −∞; and DNE if the
    1. answers icon 0 answers
    1. answers icon 0 answers
more similar questions