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

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

f is the midpoint of