Evaluate the following limits:

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This is of the form

Rationalizing the numerator:

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This is of the form

Rationalizing the numerator:

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This is of the form

Rationalizing the numerator:

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Rationalizing the numerator and denominator we get:

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Rationalizing the numerator:

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Rationalizing the numerator:

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LHS:

RHS:

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This expression on further simplification gives

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