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Question

Question: If \(\frac{- 2}{3}\left\lbrack 1 - \frac{x}{2} + \frac{x^{2}}{4} - \frac{x^{3}}{8} + ...... + ( - 1)...

If 23[1x2+x24x38+......+(1)nxn2n+......]\frac{- 2}{3}\left\lbrack 1 - \frac{x}{2} + \frac{x^{2}}{4} - \frac{x^{3}}{8} + ...... + ( - 1)^{n}\frac{x^{n}}{2^{n}} + ...... \right\rbrack, then xyz is.

A

0

B

1

C

3

D

None of these

Answer

1

Explanation

Solution

We have Q(1)=6Q( - 1) = 6

Q(2)=3Q(2) = 3.