I know that the limit is one, but what are the steps to take in order to find a limit? Maybe there are sources online where it is explained in detail?
Asked
Active
Viewed 31 times
0
-
1Possible duplicate of Is the infinite sum of $2 ^{-n}$ convergent? Why? (note that your sum is the same sum as the one in the linked question) – Maximilian Janisch Aug 27 '19 at 21:56
1 Answers
0
hint
As a geometric series,
$$S=\frac 12+\frac 14+\frac 18+....$$ $$=\frac 12(1+S)$$
$$\implies 2S=1+S$$
hamam_Abdallah
- 62,951