Find the value of the expression- 1-2x-3x2-4x3-1-2- -x-1-

We have, (1 x)^ 2=1+2x+3x^2+4x^3+......∞ [ When |x| lt;1 ]Now, (1+2x+3x^2+4x^3+.......∞)^1/2 ={(1 x)^ 2}^1/2 =(1 x)^ 1 =1(1 x) ...

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Nature of Roots

Find the valu...

Question

Find the value of the expression:
${(1 + 2 x + 3 x^{2} + 4 x^{3} + . . . . . . . \infty)}^{\frac{1}{2}}$ , $| x | < 1$ .

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