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


Example 4:

Find

03_continuous_functions-58.gif

Step 1

Taking x ≈ 0 but x ≠ 0,

03_continuous_functions-59.gif

Step 2

03_continuous_functions-60.gif

Thus the limit exists and equals .


Last Update: 2006-11-15