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Q. The expansion of $\frac{1}{(4-3 x)^{1 / 2}}$ by binomial theorem will be valid, if

Binomial Theorem

Solution:

The given expression can be written as $4^{-1 / 2}\left(1-\frac{3}{4} x \right)^{-1 / 2}$
and it is valid only when $\left|\frac{3}{4} x\right|< 1 $
$\Rightarrow -\frac{4}{3}< x< \frac{4}{3}$