Question

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

• A. $x<1$
• B. $|x|<1$
• C. $-\frac{2}{\sqrt{3}}<x<\frac{2}{\sqrt{3}}$
• D. None of these

Answer 1

Answer: (D)

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 $\left|\frac{3}{4}x\right|<1$
$\Rightarrow -\frac{4}{3}<x<\frac{4}{3}$