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The series :1p +(1/2)p+((1*3)/(2*4))^p+(...

The series :`1p +(1/2)p+((1*3)/(2*4))^p+((1*3*5)/(2*4*6))^p `...... is -

A

Convergent, if `p ge 2` and divergent, if `p lt 2`

B

Convergent, if `p gt 2` and divergent, if `p le 2`

C

Convergent, if `p le 2` and divergent, if `p gt2`

D

Convergent, if `p lt2` and divergent, if `p ge 2`

Text Solution

Verified by Experts

The correct Answer is:
B
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