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 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)

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/(2!)-1/(3!)+1/(4!)-... upto infinity is (1) e^(-2) (2) e^(-1) (3) e^(-1//2) (4) e^(1//2)

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

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

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)

The sum of series 1/2!+1/4!+16!+………. is (A) (e^2-1)/2 (B) (e^2-2)/e (C) (e^2-1)/(2e) (D) )(e-1)^2)/(2e)

The sum of the series 1+1/4.2!1/16.4!+1/64.6!+………to oo is (A) (e+1)/(2sqrt(e)) (B) (e-1)/sqrt(e) (C) (e-1)/(2sqrt(e)) (D) (e+1)/2sqrt(e)