Find each of the following limits if it exists. If you think the limit does not exist provide a reason.
(a)
(b)
given that
(c)
ExpandFoundations:
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1. If we have
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2.
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Solution:
(a)
(b)
ExpandStep 1:
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Since
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we have
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ExpandStep 2:
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If we multiply both sides of the last equation by we get
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Now, using properties of limits, we have
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ExpandStep 3:
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Solving for in the last equation,
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we get
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(c)
ExpandFinal Answer:
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(a)
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(b)
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(c)
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