Home
Class 12
MATHS
(1+1/3.(1)/(2^(2))+1/5.(1)/(2^(4))+1/7(1...

`(1+1/3.(1)/(2^(2))+1/5.(1)/(2^(4))+1/7(1)/2^(6)+…..oo) =`

A

`log_(e)2 `

B

`log_(e )3`

C

`log_(e )4`

D

`log_(e )5 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - I(B) (HOME WORK)|9 Videos
  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - II(A) (CLASS WORK)|40 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos
  • MATHEMATICAL REASONING

    AAKASH SERIES|Exercise Practice Exercise|21 Videos

Similar Questions

Explore conceptually related problems

1+(1)/(3.2^(2))+(1)/(5.2^(4))+(1)/(7.2^(6))+....=

If (1)/(1^(2)) + (1)/(2^(2)) + (1)/(3^(2)) + …..oo= (pi^(2))/(6) then (1)/(1^(2)) + (1)/(3^(2)) + (1)/(5^(2))+ ….=

(1)/(3)+(1)/(2.3^(2))+(1)/(3.3^(3))+(1)/(4.3^(4))+….oo=

If (3)/(4)+(1)/(3)((3)/(4))^(3)+(1)/(5)((3)/(4))^(5)+....=log_(e)a,(1)/(3)+(1)/(3.3^(3))+(1)/(5.3^(5))+(1)/(7.3^(7))+....=log_(e)b, 1+(1)/(3.2^(2))+(1)/(5.2^(4))+(1)/(7.2^(6))+....=log_(e)c then the ascending order of a, b, c is

y=2x^(2)-1 , then (1)/(x^(2))+(1)/(2x^(4))+(1)/(3x^(6))+…….oo

(1)/(2)((1)/(5)+(1)/(7))-(1)/(4)((1)/(5^(2))+(1)/(7^(2)))+(1)/(6)((1)/(5^(3))+(1)/(7^(3)))-….oo=

(1)/(3)-(1)/(2).(1)/(9)+(1)/(3).(1)/(27)-(1)/(4).(1)/(81)+….oo=

(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+……oo=