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?
a)
b)
c)
d)
e)
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)
.
Call this
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.