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


Example 8: Sine

Evaluate

05_limits_g_approx-20.gif

When H is positive infinite, sin H is between -1 and 1 and thus finite, so (sin H)/H is infinitesimal. The limit is therefore zero:

05_limits_g_approx-21.gif


Last Update: 2006-11-14