Complete the table and estimate the limit

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bm42400

High School

Complete the table and estimate the limit

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kudzordzifrancis

Verified answer

Answer:
$\lim_{x \to -7} \frac{\sqrt{2-x}-3 }{x+7}=-\frac{1}{6}$ or $-0.1\bar6$
Step-by-step explanation:
We want to evaluate;
$\lim_{x \to -7} \frac{\sqrt{2-x}-3 }{x+7}$
by the intuitive approach.
$f(-7.1)=-0.1662$
$f(-7.01)=-0.1666$
$f(-7.001)=-0.1667$
$f(-6.999)=-0.1667$
$f(-6.99)=-0.1667$
$f(-6.9)=-0.1671$
As we are getting closer and closer to $-7$ from both sides, the function is approaching $-\frac{1}{6}$
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