Step 1:

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

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The domain of a function is all values of $\"\"$ , those makes the function mathematically correct.

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The denominator of the function should not be zero.

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$\"\"$

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$\"\"$ .

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The domain of function is all real numbers except 6.

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The domain of function is $\"\"$ .

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The function is continuous every number in its domain.

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The $\"\"$ is in the domain.

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Step 2:

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Find the left hand limit at $\"\"$ is $\"\"$ .

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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 $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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The function is continuous.

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Solution:

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The function is continuous.

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