$\"\"$

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(a)

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Consider the sequence is $\"\"$ .

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Convergent is $\"\"$ :

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Consider the sequence as $\"\"$ .

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Apply limits on the sequence at $\"\"$ .

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$\"\"$

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$\"\"$

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Therefore, the sequence is converges to $\"\"$ .

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$\"\"$

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(b)

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Consider the sequence is $\"\"$ .

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Convergent to $\"\"$ :

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The sequence is $\"\"$ .

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Apply limits on the sequence at $\"\"$ .

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$\"\"$

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$\"\"$

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Therefore, the sequence is converges to $\"\"$ .

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$\"\"$

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(c)

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Consider the sequence is $\"\"$ .

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Apply limits on the sequence at $\"\"$ .

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$\"\"$

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$\"\"$

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Therefore, the sequence is divergent.

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$\"\"$

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(a) The sequence $\"\"$ is converges to $\"\"$ .

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(b) The sequence $\"\"$ is converges to $\"\"$ .

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(c) The sequence $\"\"$ is divergent.