When x < 0, the series for e^x is an alternating series. Use the Alternating Series Estimation Theorem to estimate the error that results from replacing e^x by 1 + x + (x²/2) when -0.1 < x < 0. Compare your estimate with the one you obtained in Exercise 41.

Data from in Exercise 41.

The approximation e^x = 1 + x + (x²/2) is used when x is small. Use the Remainder Estimation Theorem to estimate the error when |x| < 0.1.