The expansion of 1 (4 - 3x) ^ 1/2 binomial theorem will be valid,… - Vidyadip

MCQ

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

A
$x < 1$
B
$|x|\, < 1$
C
$ - \frac{2}{{\sqrt 3 }} < x < \frac{2}{{\sqrt 3 }}$
✓
None of these

✓

Answer

Correct option: D.

None of these

d
(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 $\left| {\frac{3}{4}x} \right|\, < 1 \Rightarrow - \frac{4}{3} < x < \frac{4}{3}$.

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