CPM Homework Help : CALC Problem 5-167

Hint (a):

The denominator does not equal 0. Evaluate.

Hint (c):

$\text{Think about the graphs of }y=\text{ln}x\text{ and }y=\sqrt{x}.$

Which grows faster?

Hint (c):

Is there a horizontal asymptote?

Hint (b):

x³ −8 = (x − 2)(x² + 2x + 4)

Hint (d):

Use two iterations of l'Hôpital's Rule.

Answer (d):