I am not sure how I need to solve this. Can someone get me started?
How many terms of the following series would you need to add to find its sum to within 0.01?
I only proved it converged.
To estimate the error, well I guess you should split the sum into two parts.
One from 2 to N and the other from N+1 to infinity.
You can then bound that second sum (which is the remainder via the integral)
You want a bound on .
And you can play the same game with the boxes and use the integral
, solve for N, giving me (b).
The you can sum up to that point.