The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Example 5

Find

05_limits_g_approx-113.gif

The limit as x → 0 does not exist because √x is defined only for x > 0. However, the one-sided limit as x → 0+ has the form 0/0 and can be found by l'Hospital's Rule.

05_limits_g_approx-114.gif

A second form of l'Hospital's Rule deals with the case where both f(x) and g(x) approach ∞ as x approaches c.


Last Update: 2006-11-15