3 years ago

Help me with this please

Mathematics

1 answer:

allsm [11]3 years ago

4 0

Answer:

yea

Step-by-step explanation:

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First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit). There is a typo. The 14 should be positive.

$\lim_{x \to\ 7} \bigg(\dfrac{x^2-9x+14}{x-7}\bigg)=5$

The precise definition of a limit is:

$\text{If for every } \epsilon>0\text{ there exists a }\delta >0\text{ such that}\\|f(x)-L|$

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$f(x) = \dfrac{x^2-9x+14}{x-7}\\\\L=5\\\\a=7\\\\\\|f(x)-L|$

⇒ $\epsilon = \delta$

When ε = 0.1, δ = 0.1

When ε = 0.01, δ = 0.01

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