a. Find an upper bound for the remainder in terms of n. b. Find how many terms are needed to ensure that the remainder is less than 10-3. c. Find lower and upper bounds (Ln and Un, respectively) on the exact value of the series. d. Find an interval in which the value of the series must lie if you approximate it using ten terms of the series.
I know you use the formula
Sn + integral (n+t to infinity) f(x)dx < sum < Sn integral (n to infinity) f(x)dx
And to find the reminder its
Rn < f(x)dx
But the problem for me is doing it and plugging them in.
