Consider the following. ∞(−1)n + 1nn = 1 = ln(2)(a) use the alternating series remainder theorem to determine the smallest number of terms required to approximate the sum of the convergent series with an error of less than 0.001. (b) use a graphing utility to approximate the sum of the series with an error of less than 0.001. (round your answer to three decimal places.)

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?