Find the value of `3/2x^2+5/3x^3+7/4x^4 +. . . +oo if 0 ltx lt 1 `

Find the value of x 2x+1=5 3x+4=7+2x

If x=-3 find the value of 4x^2-5x+3

When 0 lt x lt 1 , y=1/2x^2+2/3x^3+3/4x^4+ . . . Then the value of e^(1-y) at x=1/2

For 2 lt x lt 4 find the values of |x|. (ii) For -3 le x le -1 , find the values of |x|. (iii) For -3 le x lt 1, find the values of |x| (iv) For -5 lt x lt 7 find the values of |x-2| (v) For 1 le x le 5 find fthe values of |2x -7|

1*2+2*3x+3*4x^(2)+.... oo (| x | <1)

1.2+2.3x+3.4x^(2)+...... oo (| x | <1)

Find the greatest value of x^(3)y^(4) if 2x+3y=7 and x>=0,y>=0 .

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

Find the value of x, if |[(3+x), 5, 2],[1, (7+x), 6], [2, 5, (3+x)]| = 0