6. Which one of the following statcments is true for the series (-1)" (2n)1, n2n (a) The series converges conditionally but not absolutely (b) The series converges absolutely (c) The sequence of partial sums of the series is bounded but not convergent (d) The sequence of partial sums of the series is unbounded 1 7. Let S be the series (2k - 1)22k-1) and T be A-1 (k+1) 3k - 4 the series of real numbers. 3k + 2) Then which one of the following is TRUE? (a) Both the series S and Tare convergent Sis convergent and Tis divergent S is divergent and Tis convergent (b) (c) (d) Both the series S and T are divergent
6. Which one of the following statcments is true for the series (-1)" (2n)1, n2n (a) The series converges conditionally but not absolutely (b) The series converges absolutely (c) The sequence of partial sums of the series is bounded but not convergent (d) The sequence of partial sums of the series is unbounded 1 7. Let S be the series (2k - 1)22k-1) and T be A-1 (k+1) 3k - 4 the series of real numbers. 3k + 2) Then which one of the following is TRUE? (a) Both the series S and Tare convergent Sis convergent and Tis divergent S is divergent and Tis convergent (b) (c) (d) Both the series S and T are divergent
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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plz solve fast , this is multiple select question
Transcribed Image Text:Which one of the following statcments is true
for the series E (-1)" (2R),
n2n
The series converges conditionally but
not absolutely
(a)
(b)
The series converges absolutely
(c)
The sequernce of partial sums of the
series is bounded but not convergent
(d)
The sequence of partial sums of the
series is unbounded
1
7.
Let S be the series
and T be
k(2k – 1)22k-1)
3k
(k+1)
4
3
the series
of real numbers.
3k + 2
Then which one of the following is TRUE?
(a)
Both the series Sand T are convergent
(b)
Sis convergent and Tis divergent
Sis divergent and Tis convergent
Both the series S and T are divergent
(c)
(d)
IM
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