Find the value of x- 9 lim- x

Given : #160; x→ 9 lim√( x ) Let #160; #160; L= x→ 9 lim√( x ) L=√( 9 ) L=3 ...

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Algebra of Limits

Find the valu...

Question

Find the value of $lim x \to 9 \sqrt{x}$

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Solution

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

a

lim x \to a {(\frac{x^{9} - a^{9}}{x - 9})}^{x} = lim x \to 3 (6 + x)

\lim_{x \to a} \frac{x^{9} - a^{9}}{x - a} = 9,

If ${lim}_{x \to a} \frac{x^{9} - a^{9}}{x - a} = 9$ , find all possible values of a.

lim x \to a \frac{x^{9} - a^{9}}{x - a} = 9

a

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