How do you evaluate $e^3.8$ ?

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Answer 1 · 2016-12-20T13:00:40

Use a calculator, or sum the series to find:

$e^3.8 ~~ 44.70118449330082303755$

If your calculator has an $e^x$ function then you can use that to find:

$e^3.8 ~~ 44.70118449330082303755$

Otherwise, you might like to try the standard series:

$e^x = sum_(n=0)^oo x^n/(n!)$

It takes a few terms to converge.

Here I evaluated it in a spreadsheet:
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Column A contains the value of $n$

Column B calculates $n!$

Column C calculates $3.8^n$

Column D calculates $3.8^n/(n!)$

Column E sums the values from column D

How do you evaluate e^3.8e^3.8?