7. (B)
By the Ratio Test the series converges when
Checking the endpoints, we find:
is the alternating harmonic series, which converges.
is the harmonic series, which diverges.
Hence the interval of convergence is 0 ≤ x < 2.
By the Ratio Test the series converges when
Checking the endpoints, we find:
is the alternating harmonic series, which converges.
is the harmonic series, which diverges.
Hence the interval of convergence is 0 ≤ x < 2.