Barrons AP Calculus

(Marvins-Underground-K-12) #1
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    (B)


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    where   m   is  any positive    integer.
If converges, so does .
If and converge, so does , where c ≠ 0.
If 1000 terms are added to a convergent series, the new series also
converges.
Rearranging the terms of a positive convergent series will not affect
its convergence or its sum.

Which   of  the following   statements  is  true?
If converges, then so does the series .
If a series is truncated after the nth term, then the error is less than
the first term omitted.
If the terms of an alternating series decrease, then the series
converges.
If r < 1, then the series converges.
none of these
Which of the following series can be used to compute ln 0.8?
ln (x − 1) expanded about x = 0
ln x about x = 0
ln x expanded about x = 1
ln (x − 1) expanded about x = 1
none of these

Let  .  Suppose both    series  converge    for |x| <   R.  Let
x 0 be a number such that |x 0 | < R. Which of statements A–D is false?
converges to f(x 0 ) + g (x 0 ).
converges to f(x 0 )g (x 0 ).
is continuous at x = x 0.
converges to f ′(x 0 ).
Statements A−D are all true.
If the approximate formula sin is used and |x| < 1 (radian), then
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