The expansion of 1-4-3 x 1-2 binomial theorem will be valid- ifA- x-1B- -x-1C- -2-3-x-2-3D- None of these

The correct option is D None of these The given expression can be written as 4^ 1/2(1 3/4x)^ 1/2 and it is valid only when | 3/4x| lt; 1 nbsp; ⇒ 4/3 ...

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Byju's Answer

Standard XII

Mathematics

Expansions of the Form (1+x)^(-n) and (1-x)^(-n)

The expansion...

Question

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

be valid, if

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None of these

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Solution

The correct option is D
None of these

The given expression can be written as $4^{\frac{- 1}{2}} (1 - \frac{3}{4} x)^{\frac{- 1}{2}}$

and it is valid only when | $\frac{3}{4}$ x| < 1 ⇒ - $\frac{4}{3}$ < x < $\frac{4}{3}$ .

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The expansion of 1(4−3x)12 binomial theorem will be valid, if

The correct option is D None of these The given expression can be written as 4−12(1−34x)−12 and it is valid only when | 34x| < 1 ⇒ - 43 < x < 43.

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

be valid, if

The correct option is D
None of these

The given expression can be written as $4^{\frac{- 1}{2}} (1 - \frac{3}{4} x)^{\frac{- 1}{2}}$

and it is valid only when | $\frac{3}{4}$ x| < 1 ⇒ - $\frac{4}{3}$ < x < $\frac{4}{3}$ .