How Many Terms Are Needed for 0.01 Accuracy in an Alternating Series?

[WayneH]

Q: How many terms of the alternating series $$\sum((-2)^n)/n!$$ needed to find the sum to an accuray of 0.01?

What approximations r going to help? I can not do with Riemann,Trapezoidal and Simpson.

 

[Mark44]

Q: How many terms of the alternating series $$\sum((-2)^n)/n!$$ needed to find the sum to an accuray of 0.01?

What approximations r going to help? I can not do with Riemann,Trapezoidal and Simpson.

This is not a precalculus question. You should post problems like this in the Calculus & Beyond section.

Your text should provide information about error estimates for alternating series, namely that the first unused term in the series gives a bound for the error.