Find the range of values of x for which the expansion of the binomial (2 − 3x)^(−4) is valid. I need help with explanation please


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Question Number 120601 by Don08q last updated on 01/Nov/20

$Find the range of values of x for$ $which the expansion of the binomial$ ${(2 - 3 x)}^{- 4} is valid .$ $I n e e d h e l p w i t h e x p l a n a t i o n p l e a s e$
	Answered by Ar Brandon last updated on 01/Nov/20

	$Range : ∣ 3 x ∣< 2$ $\Rightarrow - 2 < 3 x < 2$ $\Rightarrow - \frac{2}{3} < x < \frac{2}{3}$
	Commented by Don08q last updated on 01/Nov/20

	$w h y i s i t v a l i d f o r t h i s r a n g e p l e a s e ?$
	Commented by Dwaipayan Shikari last updated on 01/Nov/20

	$i f ∣ 2 - 3 x ∣= 0$ $\frac{1}{{(2 - 3 x)}^{4}} w i l l b e i n f i n i t e o r u n d e f i n e d$
	Commented by Dwaipayan Shikari last updated on 01/Nov/20

	$I f x = - \frac{2}{3}$ $(2 - 3 x) = 4$ $S o i t m u s t b e - \frac{2}{3} ⩽ x < \frac{2}{3}$
	Commented by Don08q last updated on 02/Nov/20

	$A l r i g h t . T h a n k y o u .$
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