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Question

Question: In the expansion of \(\frac{1}{2}n\), the coefficient of x<sup>–10</sup> will be....

In the expansion of 12n\frac{1}{2}n, the coefficient of x–10 will be.

A

e2e^{2}

B

e21e^{2} - 1

C

e1e - 1

D

e2+1e^{2} + 1

Answer

e1e - 1

Explanation

Solution

4[1+42+4.32.2+4.3.21.2.3.22+4]4\left\lbrack 1 + 4\sqrt{2} + \frac{4.3}{2}.2 + \frac{4.3.2}{1.2.3}.2\sqrt{2} + 4 \right\rbrack

4[1+42+12+82+4]4\lbrack 1 + 4\sqrt{2} + 12 + 8\sqrt{2} + 4\rbrack

Then coefficient of 4[17+122]4\lbrack 17 + 12\sqrt{2}\rbrack is

4[17+(~17)]4\lbrack 17 + (\widetilde{-}17)\rbrack.