Sum of the infinite series `1/(2!)+(1+2)/(3!)+(1+2+3)/(4!)+ tooo` `e/3` b. `e` c. `e/2` d. none of these

Sum of the infinite series (1)/(2!)+(1+2)/(3!)+(1+2+3)/(4!)+...to oo(e)/(3) b.e c.(e)/(2)d . none of these

Find the sum of the infinite series. 1/(1.2.3)+1/(2.3.4)+1/(3.4.5)+...

The sum of the series ""(1^2)/(2!)+(2^2)/(3!)+(3^2)/(4!)+"i s" e+1 b. e-1 c. 2e+1 d. 2e-1

The sum of the series (1^(2))/(2!)+(2^(2))/(3!)+(3^(2))/(4!)+ is e+1 b.e-1 c.2e+1 d.2e-1

The sum of the infinite series 2^2/(2!)+2^4/(4!)+2^6/(6!)+..... is equal to a) (e^2+1)/(2e) b) (e^4+1)/(2e^2) c) (e^2-1)^2/(2e^2) d) (e^2+1)^2/(2e^2)

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)

The sum of the series 1+(3)/(2!) +(7)/(3!)+ (15)/(4!) + ……" to " infty , is : a) e ( e+1) b) e( 1-e) c) 3e-1 d) e(e-1)

If the sum to infinity of the series 1+2r+3r^(2)+4r^(3)+ is 9/4, then value of r is (a)1/2 b.1/3 c.1/4 d.none of these

If the sum to infinity of the series 1+2r+3r^2+4r^3+ is 9/4, then value of r is 1//2 b. 1//3 c. 1//4 d. none of these