Question: 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

In calculus, the following can be shown.x3 x2 et = 1+x + 3· 2· 1 4· 3· 2· 1 5· 4: 3· 2· 1


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.

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

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