Home
Class 12
MATHS
Find the sum of the infinite series 1+...

Find the sum of the infinite series
`1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+…..`

Text Solution

Verified by Experts

The correct Answer is:
`=sqrt(3)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TETUAL EXERCISES (EXERCISE - 6(c)) I.|15 Videos

  • BINOMIAL THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TETUAL EXERCISES (EXERCISE - 6(b)) II.|6 Videos

  • ANDHRA PRADESH MARCH 2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise QUESTION|21 Videos

  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(e)|25 Videos

Similar Questions

Explore conceptually related problems

Sum the series (1)/(3.6) +(1.3)/(3.6.9) +(1.3.5)/(3.6.9.12)+…

Find the sum of the infinite series (3)/(4)+(3.5)/(4.8)+(3.5.7)/(4.8.12)+….

Knowledge Check

  • If x=(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+…. , then x^2+2x-2=

    A
    0
    B
    1
    C
    2
    D
    `-1`

    • Similar Questions

    Explore conceptually related problems

    Find the sum of the infinite series (3)/(4)+(3.5)/(4.8)+(3.5.7)/(4.8.12)+....

    Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(2.5)/(3.6)((1)/(2))^(2)+(2.5.8)/(3.6.9)((1)/(2))^(3)+......oo

    (1.3)/(3.6)+(1.3.5)/(3.6.9)+(1.3.5.7)/(3.6.9.12)+…=

    Find the sum of the infinite series (3)/(4.8)-(3.5)/(4.8.12)+(3.5.7)/(4.8.12.16)-......

    Find the sum of the infinite series (7)/(5)(1+(1)/(10^(2))+(1.3)/(1.2).(1)/(10^(4))+(1.3.5)/(1.2.3).(1)/(10^(6))+....)

    1+(1)/(2!)+(1.3)/(4!)+(1.3.5)/(6!)+...=

    Show that 1 + 1/3 + (1.3)/(3.6) + (1.3.5)/(3.6.9) + ….. = sqrt3

    Home
    Profile