$\"\"$

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The function is $\"\"$

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The function $\"\"$ at $\"\"$ .

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$\"\"$ then $\"\"$ .

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The function $\"\"$ at $\"\"$ .

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$\"\"$ then $\"\"$ or $\"\"$ .

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$\"\"$ or $\"\"$ .

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Find continuity at $\"\"$ .

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

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$\"\"$

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

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$\"\"$

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$\"\"$ .

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The left hand side limit is equal to right hand limit.

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$\"\"$ .

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

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$\"\"$

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Find the continuity at $\"\"$ .

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As $\"\"$ tends to $\"\"$ from left hand side

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$\"\"$

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

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$\"\"$

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The left hand side limit is equal to right hand limit.

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$\"\"$ .

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

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

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Hence, the function is continuous for all real values of $\"\"$ .

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$\"\"$

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The function is continuous for all real values of $\"\"$ .