Home
Class 12
MATHS
The sum of the series 1 + 2x +3x^2 +4x^3...

The sum of the series `1 + 2x +3x^2 +4x^3+...` upto infinity when x lies between 0 and 1 i.e., `0

Answer

Step by step text solution for The sum of the series 1 + 2x +3x^2 +4x^3+... upto infinity when x lies between 0 and 1 i.e., 0<x<1 is by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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

Find the sum of the series 1+3x+5x^2+7x^3+.......... upto n terms.

Knowledge Check

  • The sum of series 1 + 2x + 3x^(2) + 4x^(3) + ...... up to infinity when x lies between 0 and 1 i.e., 0 lt x lt 1 is

    A
    `1/(1 + x)`
    B
    `1/(1 - x)`
    C
    `1/(1 - 2x)`
    D
    `1/(1 - x)^(2)`

  • The sum of the series 1 + 2x + 3x^(2) + 4x^(3) +"…." to oo where x lies between 0 and 1 i.e., 0 lt x lt 1 is :

    A
    `( 1)/( 1+x)`
    B
    `( 1)/( 1-x)`
    C
    `( 1)/( 1-2x)`
    D
    `( 1)/((1-x)^(2))`

  • The sum of the series 1+2x+3x^2 +4x^2 +… .upto n terms is

    A
    `(1-(n+1)x^n +nx^(n+1))/(1-x)^2`
    B
    `(1-x^n)/(1-x)`
    C
    `x^(n+1)`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Find the sum of the series 1+3x+5x^(2)+7x^(3)+...... upto n terms.

    Find the sum of the series 1+3x+5x^2+7x^3+.......... upto n terms.

    The sum of the series 1/(2!) - 1/(3!) + 1/(4!) - …….. upto infinity is

    The sum of the series 1/(2!)-1/(3!)+1/(4!)-… upto infinity is

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

    Home
    Profile