42) The series ) 1 converges if and only if n2-a n=1 a) a > 1 b) a < 1 c) α > 1 d) -1 < a <1 e) None of the above 1 43) The series >(-1)"-1 sin( n=1 a) converges absolutely. b) converges conditionally. c) diverges. d) None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve both 42 and 43 please

42) The series )
1
converges if and only if
n2-a
n=1
a) a > 1
b) a < 1
c) α > 1
d) -1 < a <1
e) None of the above
1
43) The series >(-1)"-1 sin(
n=1
a) converges absolutely.
b) converges conditionally.
c) diverges.
d) None of the above.
Transcribed Image Text:42) The series ) 1 converges if and only if n2-a n=1 a) a > 1 b) a < 1 c) α > 1 d) -1 < a <1 e) None of the above 1 43) The series >(-1)"-1 sin( n=1 a) converges absolutely. b) converges conditionally. c) diverges. d) None of the above.
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