Find the sum of the convergent series. sigma_n = 1^infinity 12/n(n + 2)

Looks like the series is

Split up the summand into partial fractions:

The series has kth partial sum

Several intermediate terms cancel to leave us with

As , the last two terms converge to 0, so that

range is infinite on both x and y axis positive and negative

step-by-step explanation:

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8