$\"\"$

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(a)

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$\"\"$ where $\"\"$ .

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Observe the graph:

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As $\"\"$ tends to $\"\"$ from right hand side, $\"\"$ approaches to $\"\"$ .

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$\"\"$ .

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$\"\"$

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(b)

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$\"\"$ where $\"\"$ .

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Observe the graph:

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As $\"\"$ tends to $\"\"$ from left hand side, $\"\"$ approaches to $\"\"$ .

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$\"\"$ .

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$\"\"$

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(c)

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$\"\"$ where $\"\"$ .

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Since the left hand limit and right hand limit are not equal,Limit does not exist.

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$\"\"$ does not exist.

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$\"\"$

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Observe the graph:

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The function is continuous over the interval $\"\"$ except at $\"\"$ .

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Discontinuity is at $\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .

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(c) $\"\"$ does not exist.

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Discontinuity is at $\"\"$ .