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The alternating series u1-u2+u3-u4+...(0...

The alternating series `u_1-u_2+u_3-u_4+...(0 lt u_n lt n)` is convergent, if -

A

`u_n lt u_(n+1)`and `u_n to 0` as `n to infty`

B

`u_n lt u_(n+1)`and `u_n to infty` as `n to infty`

C

`u_n gt u_(n+1)`and `u_n to 0` as `n to infty`

D

`u_n gt u_(n+1)`or `u_n to infty` as `n to infty`

Text Solution

Verified by Experts

The correct Answer is:
C
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