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The series:x/1.2+x^2/3.4+x^3/5.6+x^4/7.8...

The series:`x/1.2+x^2/3.4+x^3/5.6+x^4/7.8......,xgt0 `is

A

Convergent if `xlt1`

B

Divergent if `x gt 1 `

C

Convergent if x + 1

D

All are true

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The sum of the series 1/2x^(2)+2/3x^(3)+3/4x^(4)+4/5x^(5)+ . . . is

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    D
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  • If x is positive, then the series: 2/3x+ (3/4)^2x^2+(4/5)^3 x^3+...

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  • The sum of the the series 1+2x3+3x5+4x7+.... Upto 11^(th) term is

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