$\"\"$

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The function is $\"\"$ , $\"\"$ .

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Definition of continuity :

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A function $\"\"$ is continuous at $\"\"$ , if $\"\"$ then it should satisfy three conditions :

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(1) $\"\"$ is defined.

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(2) $\"\"$ exists.

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(3) $\"\"$ .

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$\"\"$

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Condition (1): $\"\"$ is defined.

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the above equation.

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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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$\"\"$ is defined.

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$\"\"$

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Condition (2): $\"\"$ exists.

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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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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ exists.

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$\"\"$

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Condition (3): $\"\"$ .

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$\"\"$ and $\"\"$ .

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$\"\"$ .

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The three conditions of continuity are satisfied, hence the function is continuous.

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The function $\"\"$ is continuous at $\"\"$ .

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$\"\"$

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The function $\"\"$ is continuous at $\"\"$ .