X- 7 lim 4- 9-x 1- 8-x

[ lim #160; #160;_ x→ 7 4 √( 9+x ) #160; 1 √( 8 x ) #160; form( 0 0 #160; ) ...

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Right Hand Limit

x→ 7 lim 4-√ ...

Question

$l i m x \to 7 \frac{4 - \sqrt{9 + x}}{1 - \sqrt{8 - x}}$

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Solution

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l i m x \to 1 {∣ ∣ ∣ \begin{matrix} \frac{4}{x^{2} - x^{- 1}} - \frac{1 - 3 x + x^{2}}{1 - x^{3}} \end{matrix} ∣ ∣ ∣}^{- 1} + 3 ∣ ∣ ∣ \begin{matrix} \frac{x^{4} - 1}{x^{3} - x^{- 1}} \end{matrix} ∣ ∣ ∣

x = 2

x^{9} + x^{8} + x^{7} + . . . . . . . . . . . . . . + x^{1} + 1

{lim}_{x \to 7} \frac{4 - \sqrt{9 + x}}{1 - \sqrt{8 - x}}

lim x \to a \frac{x^{9} - a^{9}}{x - a} = lim x \to 5 (4 + x)

| a |

x^{8} + x + x^{12} - 3 x^{7} + x^{9} + 1

x

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