Evaluate the geometric series or state that it diverges. sigma^infinity_k=0(8/9)^k Select the correct choice below and, if necessary, fill in the answer box to complete your choice. sigma^infinity_k=0(8/9)^k The series diverges.

The series converges, since |8/9| = 8/9 < 1.

Let denote the n-th partial sum of the series,

Multiply both sides by 8/9:

Subtract this from to eliminate all but the first term in

Solve for :

As , the exponential term vanishes, so that

where does the z at is it on the x axes or on the y axes any way if it is on the y axes put it horizontally and if it is on the x axes put it vertically

52 \43 i don't know this i tried