follows. is certain to fall converge. Find its sum. Consider the infinite series S= [1, ), and f (n) = an, then 7-2. When applying the Integral Test...

For 7-2 part A I don't understand the inequality statement above.Aren't you counting a1 twice in the integral a1+integral from 1 to infinity of f(x)? Since it seems as though a1 is being counted for twice I don't understand how these two would look any different from each other graphically.