Example 27: Evaluate Exponential Series

Learn how to evaluate an exponential series.

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Problem

The exponential function exe^{x} is defined as the sum of the following series:

1+x+(x22!)+(x33!)+(x44!)+....1+x+(\frac{x^{2}}{2!})+(\frac{x^{3}}{3!})+(\frac{x^{4}}{4!})+....

If xx is an input to a function, write a program to calculate the sum of the first ten terms of the series.

Example

Inputs Outputs
-4 0.096719
0 1.000000
1.5 4.481686
3 20.079666
5 146.380615

Try it yourself

Try to solve this question on your own in the code widget below. If you get stuck, you can always refer to the solution provided.