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-

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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