Question

Calc2 question
prove this:

Answer 1

A is a real number;
if this converges \[\sum_{k=12}^{\inf}A\]
then prove this converges \[\sum_{k=1}^{\inf}A\]

Answer 2

isn't the second one just the first one plus\[\sum_{k=1}^{11}A\]

Answer 3

ya, i'm tired...

Answer 4

In other words, the sum from k=1 to k=11 is a finite sum, so adding a finite sum to another finite sum is yet another finite sum.