The series . ` (2x)/(x + 3) + ((2x)/(x + 3))^(2) + ((2x)/(x + 3))^(3) + ...oo`
have a definite sum when

If the sum of series 1+(3)/(x)+(9)/(x^(2))+(27)/(x^(3))+ . . .. " to "oo is a finite number, then

If y=x+(x^(2))/(2)+(x^(3))/(3)+....oo , then x =

Find the sum of series 4 - 9x + 16 x^(2) - 25 x^(3) + 36 x^(4) - 49 x^(5) + ...oo

The sum of the series (1)/(1!)x+(2)/(2!)x^(2)+(3)/(3!)x^(3) ….. To infty is

x +(x^2)/(3!)+(x^3)/(5!) + ......oo =

The sum of the series (x^(2))/(2)+(2)/(3)x^(3)+(3)/(4)x^(4)+(4)/(5)x^(5)+….=

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)

lim_(x to oo) ((x^(2)+ 5x+3)/(x^(2)+x+3))^(x) is equal to

The sum of the series (x-1)/(x+1)+1/2(x^(2)-1)/(x+1)^(2)+1/3(x^(3)-1)/(x+1)^(3) +…is equal to