(A)
(B)
(C)
(D)
(E)
- (A)
(B)
(C)
(D)
(E)
(A)
(B)
(C)
(D)
(E)
(A)
(B)
(C)
(D)
(E)
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