Question: which of the following is equal to -7?
2 answers:
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Answer:
The series converges to for
Step-by-step explanation:
Given the series is
We have to find the values of x for which the series converges.
We know,
converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for
And geometric series converges to
Here, a = 1 and r = 9x
Therefore,
Hence, the given series converges to for