Find the target value of the series 1+(1)/(3)+(1)/(9)+cdots+(1)/(3^(k))+... Find a value of n so that any partial sum with at least n terms is within 0.001 of the target value. Justify your answer.

A) Determine the target value of the series.
B) Calculate the value of n for which the partial sum is within 0.001 of the target value.
C) Justify why the partial sum should be within 0.001 of the target value.
D) Find the value of k for which the series converges.
Note: The options have been rephrased and unnecessary space and words have been removed.