Thread: show funcion is solution of differential function.

Not sure what they want here, please help.

show funcion f(x) = n=0->infinity x^n / n!

show that f(x) = e^x

Depends what you can use. If you can just use a Taylor series this is straightforward...

A Taylor's series is



where means the nth derivative of f(x) evaluated at x=a. So in your case



and you substitute a=0 to get the result you need.

Note: A Taylor series with a=0 is also called a Maclaurin series.

Hope this helps.