MCQ
${{\left( x+\frac{1}{2x} \right)}^{2n}}$ ના વિસ્તરણમાં મધ્યમ પદ ............
- A$\frac{1.3.5....\left( 2n-3 \right)}{n!}$
- ✓$\frac{1.3.5....\left( 2n-1 \right)}{n!}$
- C$\frac{1.3.5....\left( 2n+1 \right)}{n!}$
- Dએક પણ નહીં.
મધ્યમ પદ $=t_n+1$
$=2n_{C_n}x^n\left(\frac{1}{2x}\right)^n\\=\frac{(2n)!}{n!n!} \times \frac{1}{2^n}^n\\=\frac{1 \times 3 \times 5 \times 7...(2n-1)}{n!}$
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