In calculus, the following can be shown.

Using more terms, one can obtain a more accurate approximation for ex.

Use the terms shown, and replace x with -0.05 to approximate e-0.05 to four decimal places. Check the result with a calculator.

Transcribed Image Text:

x3 x2 et = 1+x + 3· 2· 1 4· 3· 2· 1 5· 4: 3· 2· 1