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`

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)

Find the sum of the series e^(x-(1)/(2)(x -1)^(2) + (1)/(3) (x -1)^(3) - (1)/(4) (x -1)^(4) + ...

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 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)

Plot the points A(4,1),B(-3,2),C(2,-3),D(-4,1),E(-4,-4) .

The sum of the first 35 terms of the series (1)/(2)+(1)/(3)-(1)/(4)-(1)/(2)-(1)/(3)+(1)/(4)+(1)/(2)+(1)/(3)-(1)/(4) is -(1)/(2)(b)-(1)/(4) (c) (1)/(4) (e) None of these

The normal at an end of a latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through an end of the minor axis if (A)e^(4)+e^(2)=1(B)e^(3)+e^(2)=1(C)e^(2)+e=1(D)e^(3)+e=1

Let C be the centre, BCB the minor axis and S the focus (ae, 0) for the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1. B ' S is produced to meet the ellipse again in the point P. If CP makes an angle varphi with the positive direction of x-axis then tanvarphi is equal to ((a-e^2)^(3/2))/e (b) ((1-e^2)^(3/2))/(2e) ((1-e^2)^(1/2))/2 (d) ((1-e^2)^(-1/2))/e