P4. Determine whether the given series are a) absolutely convergent, b) conditionally (ii) 2 –+ convergent, or c) divergent. sin a (i) sin (n a) ... + n² sin(2 a) + 1 4 (ii) 2 - + .…+ (-1)"+1, + ... n (iii) (-1)" Zn=1 n-Inn

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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P4. Determine whether the given series are a) absolutely convergent, b) conditionally
convergent, or c) divergent.
sin (n a) +
+..
sin a
sin(2 a)
(i)
4
n2
n+1
3
(ii) 2 –
2
+ .…+ (-1)"+1
+ ...
...
п
(iii) E0, -1)"
n=1
n-Inn
Transcribed Image Text:P4. Determine whether the given series are a) absolutely convergent, b) conditionally convergent, or c) divergent. sin (n a) + +.. sin a sin(2 a) (i) 4 n2 n+1 3 (ii) 2 – 2 + .…+ (-1)"+1 + ... ... п (iii) E0, -1)" n=1 n-Inn
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