The sum of series `x/(1-x^2)+(x^2)/(1-x^4)+(x^4)/(1-x^8)+` to infinite terms, if `|x|<1,` is `x/(1-x)` b. `1/(1-x)` c. `(1+x)/(1-x)` d. `1`

Find the sum of series 4-9x+16x^2-25x^3+36x^4-49x^5+..... to infinite.

Statement -1: The sum of the series (1)/(1!)+(2)/(2!)+(3)/(3!)+(4)/(4!)+..to infty is e Statement 2: The sum of the seies (1)/(1!)x+(2)/(2!)x^(2)+(3)/(3!)x^(3)+(4)/(4!)x^(4)..to infty is x e^(x)

Statement -1: The sum of the series (1)/(1!)+(2)/(2!)+(3)/(3!)+(4)/(4!)+..to infty is e Statement 2: The sum of the seies (1)/(1!)x+(2)/(2!)x^(2)+(3)/(3!)x^(3)+(4)/(4!)x^(4)..to infty is x e^(x)

If the sum of the series 1+(2)/(x)+(4)/(x^(2))+(8)/(x^(3))+....oo is finite number,

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

If the sum of the series 1+(2)/(x)+(4)/(x^(2))+(8)/(x^(3))+....oo is finite number

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

If the sum of the series 1 + (2)/(x) + (4)/(x^(2)) + (8)/(x^(3)) + …………….. is a finite number, then: