Question:
Write the middle term in the expansion of $\left(x+\frac{1}{x}\right)^{10}$.
Solution:
Here, $n$, i. e., 10 , is an even number.
$\therefore$ Middle term $=\left(\frac{10}{2}+1\right)$ th term $=6$ th term
Thus, we have:
$T_{6}=T_{5+1}$
$={ }^{10} C_{5}(x)^{10-5} \times\left(\frac{1}{x}\right)^{5}$
$={ }^{10} C_{5}$
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