26. Use algebraic properties to determine the value of the limit: VX-3-2 lim X-7

Question

Question

math calculus

Answer 1

Answer #1

We have given to find the limits so when we take x=7

We get it as 0/0

So by using L hospitality rule so

$lim_{x \to 7} \frac{\sqrt{x-3}-2}{x-7}$

$lim_{x \to 7} \frac{\frac{1}{2\sqrt{x-3}}}{1}$

$\frac{\frac{1}{2\sqrt{7-3}}}{1}$

${\frac{1}{4}}$

Answer 2

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