$\"\"$

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The function is $\"\"$ .

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Find the values for which $\"\"$ is continuous.

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For a function to be continuous, $\"\"$ .

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From the piece-wise function, $\"\"$ .

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Find $\"\"$

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$\"\"$ .

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Evaluate the limit function by path limits.

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Find the limits along the path $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find the limits along the path $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Since the two limits are equal, limit does exist.

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$\"\"$ .

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Hence $\"\"$ .

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Hence the function is discontinuous at $\"\"$ .

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Set of values for which $\"\"$ is continuous is $\"\"$ .

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$\"\"$

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Set of values for which $\"\"$ is continuous is $\"\"$ .