For the following series, find the number of terms required to find the sum with error < 0.005, and find upper and lower bounds for the sum using a much smaller number of terms.
$$\sum_{n=1}^\infty \frac 1{n^{1.01}}.$$ I really am not sure how to approach this problem - I've never seen anything like it. Help would be much appreciated! (I'm also pretty sure I've formatted it wrong, so feel free to correct me).
Please help me!! I'm pretty lost!