Sum `1 + 3x + 5x^2 + 7x^3 + 9x^4 + ....... text(to)\ oo` is `(x < 1)`

Sum 1+3x+5x^(2)+7x^(3)+9x^(4)+...... to oo is (x<1)

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

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

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

If the sum of 1 + 4x + 7x^(2) + 10x^(3) + ….oo (|x|lt 1) is (35)/(16) then x=

a (x) = 3x ^ (6) + 7x ^ (4) + 9x ^ (2) + 2x + 1, b (x) = 2x + 2

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

Find the sum of the following algebraic expressions : 3x^(3) - 5x^(2) + 2x + 1 , 3x - 2x^(3) - x^(3) , 2x^(2) - 7x + 9

If 1+ 2x + 3x^(2) + 4x^(3) + …oo= (9)/(4) (|x| lt 1) then x=

Evaluate lim_(x to 3) (x^(3) - 7x^(2) + 15x - 9)/(x^(4) - 5x^(3) + 27 x - 27)