37.72
Determine whether
37.75
Study the convergence of
The series is
geometric series
the series is absolutely convergent.
Note that, for
So, by comparison with the convergent
Hence, the series is absolutely convergent by comparison with the convergent p-series
37.74 Determine whether
converges.
series is dominated by a convergent geometric series.
Yes. Since In
we have
so the given
37.73
Is
convergent?
Use the ratio test.
Hence, the series converges.
converges.
Hence, the series converges.
Use the ratio test.
37.71
Determine whether
converges.
Use the ratio test.
lutely convergent.
Therefore, the series is abso37.70
Study the convergence of
Bv Problem 37.64,
37.69
For the convergent p-series
(p > 1), show that the error R n after »terms is less than
By Problem 37.67, the error is
37.68
If we approximate the geometric series
error be?
by means of the first 10 terms, what will the
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CHAPTER 37