Use the definition of continuity and the properties of limits to show that (picture provided below)

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Step-by-step explanation:

The given function is

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We can factor an rewrite for easy evaluation;

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Let us plug in 5.

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Let us find the Left Hand Limit;

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Now the Right Hand Limit;

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Since the One-Sided Limits exist and are equal;

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We have shown that;

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This is the definition of continuity.

Hence f(x) is continuous at x=5

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )