Noting the Taylor Series of ex:
Clearly these two methods yield a different result. Spot the error that I made, it took me a second to figure it out....
Monday, February 8, 2010
Math Mystery
It is amazing how easily you can get things wrong when you forget the basics. Here is a case and point from today, I was recalling the Taylor series of ex, and something didn't add up. First lets look at the intergral of ex:
Noting the Taylor Series of ex:
*n!}=\sum_{n=0}^{\infty}\frac{x^{n+1}}{(n+1)!}=\sum_{n=1}^{\infty}\frac{x^{n}}{(n)!} "=\sum_{n=0}^{\infty}\frac{x^{n+1}}{(n+1)*n!}=\sum_{n=0}^{\infty}\frac{x^{n+1}}{(n+1)!}=\sum_{n=1}^{\infty}\frac{x^{n}}{(n)!}")
Clearly these two methods yield a different result. Spot the error that I made, it took me a second to figure it out....
Noting the Taylor Series of ex:
Clearly these two methods yield a different result. Spot the error that I made, it took me a second to figure it out....
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