How do you evaluate #e^3.8#?

1 Answer
Dec 20, 2016

Answer:

Use a calculator, or sum the series to find:

#e^3.8 ~~ 44.70118449330082303755#

Explanation:

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