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

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

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

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

If, y=x-x^2/2+x^3/3-x^4/4+....oo and (|x|lt1) then x=y+y^2/(a!)+y^3/(b!)+......+oo Find a^2+b

(1+x^2/(2!) +x^4 /(4!) + .....oo)^(2) - (x+x^3/(3!) +x^(5)/(5!) + ....oo)^(2) =

lim_(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+root3(2x-3)+.......+rootn(2x-3)) is equal to (a) 1 (b) oo (c) sqrt(2) (d) none of these