Taylor Polynomial e^x function

Jason Kossis

2012 9 6

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I am looking for a way to develop a function that will solve the Taylor polynomial of degree n for computing e^x, such that:

e^x = 1 + x/(1!) + x^2/(2!) + x^3/(3!) + x^4/(4!) ... + x^n/(n!)

I want the function to take x and n as inputs, and the output would be the result e^x. The trick is that for loops and other control structures cannot be used. I am looking for some hints or tips. I understand how the process would work if loops were allowed to iterate, but without them, I am at a loss.

I appreciate any help you can provide.