Determine how many terms the geometric series has, and then find the sum of the series
1 answer:
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It looks like we have
and we want to find .
Since is approaching 5, we don't care about the value of
when
.
We do care about how behaves to either side of
. If
from below, then
, so that
On the other hand, if from above, then
, so that
The one-sided limits do not match, since 0 ≠ 8, so the limit does not exist.