If 1 ( x 2 + 1 x ) 4 3 can be expanded by binomial theorem if Options: A . &nbsp x < 1 B . &nbsp |x| < 1 C . &nbsp x > 1 D . &nbsp |x| > 1

Answer: Option D : D The expansion is x − 8 3 ( 1 + 1 x 3 ) − 4 3 Hence | 1 x 3 | < 1 ⇒ |x| > 1

If 1(x2+1x)43 can be expanded by binomial theorem if

Question -

If $\frac{1}{(x^{2} + \frac{1}{x})^{\frac{4}{3}}}$ can be expanded by binomial theorem if

Options:

A . x < 1

B . |x| < 1

C . x > 1

D . |x| > 1

Answer: Option D
:
D

The expansion is $x^{- \frac{8}{3}} (1 + \frac{1}{x^{3}})^{-} \frac{4}{3}$

Hence | $\frac{1}{x^{3}}$ | < 1 ⇒ |x| > 1

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