Question

The term independent of \( x \) in the expansion of \( \left(x + \frac{1}{x}\right)^{2n} \) is:

• A. $\frac{1 \cdot 3 \cdot 5 \dots (2n-1)}{n!} 2^{n}$
• B. $\frac{1 \cdot 3 \cdot 5 \dots (2n-1)}{n!}$
• C. $\frac{2 \cdot 4 \cdot 6 \dots (2n)}{n!}$
• D. None of these

Hint:

The coefficient of the independent term in $(x + 1/x)^{N}$ only exists if $N$ is even.

Answer 1

The Correct Option is A