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Oksana_A [137]
2 years ago
7

Find the limit , picture provided

Mathematics
1 answer:
V125BC [204]2 years ago
7 0

Answer:

d. does not exist

Step-by-step explanation:

The given limits are;

\lim_{x \to 4} f(x) =5, \lim_{x \to 4} g(x) =0 and \lim_{x \to 4} h(x) =-2

We want to find

\lim_{x \to 4} \frac{f}{g}(x)= \lim_{x \to 4} \frac{f(x)}{g(x)}

By the properties of limits, we have;

\lim_{x \to 4} \frac{f}{g}(x)= \frac{\lim_{x \to 4} f(x)}{\lim_{x \to 4} g(x)}

This gives us;

\lim_{x \to 4} \frac{f}{g}(x)= \frac{5}{0}

Division by zero is not possible. Therefore the limit does not exist.

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Step-by-step explanation:

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The limit of a function exist at a point a if the left hand limit and right hand limit are equal.

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The function is broken at x=2, therefore we have to find the left and right hand limit at x=2.

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Since the left hand limit and right hand limit are not equal therefore the limit of the function does not exists.

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