$\"\"$

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The sequence is $\"\"$ .

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Find the first six terms of the sequence.

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

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

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

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

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

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

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Therefore, the first six terms of the sequence are $\"\"$ .

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$\"\"$

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The sequence is converges.

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Therefore, $\"\"$ .

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Take natural logarithm on each side.

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$\"\"$

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$\"\"$

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Take limits on each side.

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$ .

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Apply L hospital rule.

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

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$\"\"$

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The first six terms of the sequence are $\"\"$ .

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The sequence is converges to $\"\"$ .