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The series overset infty overset Sigma(n...

The series `overset infty overset Sigma(n=1) n/2^n`is-

A

Oscillatory

B

Divergent

C

Convergent

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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  3. The series overset infty overset Sigma(n=1) n/2^nis-

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  5. The sum of the seriesoverset infty overset Sigma(n=1)1/(n(n+1)(n+2))is

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  6. For the geometric series - 1-k+k^2-k^3+..... Which of the following i...

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  7. The series 1/(1cdot2)+2/(3cdot4)+3/(5cdot6)+... inftyis-

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  8. For a positive term series Sigmaan, the radio test states that-

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  9. If un ge u(n+1) ge 0 for all n, then for convergence of the series ove...

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  10. The series 1-2x+ 3x^2 - 4x^3 + 37....,Where 0 lt x lt 1 , is-

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  11. The series 1-1/2+1-3/4+1-7/8+ ...is-

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  12. Which one of the following is false?

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  13. The series 1/(n(log n)^p is divergent if -

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  14. The series Sigma(-1)^n/(n+1)^p is-

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  15. Which of the following series is non absolutely convergent?

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  16. Which one of the following is false?

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

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  18. The series: x+x^(1+1//2)+x^(1+1//2+1//3)+x^(1+1//2+1//3+1//4)+...is-

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  19. The series a/b +(a(a+1))/(b(b+1))+(a(a+1)(a+2))/(b(b+1)(b+2))+ is...

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