(a)

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Given function

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$\"image\"$

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L\\'Hopital\\'s Rule :

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$\"image\"$

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$\"image\"$

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$\"image\"$

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$\"image\"$

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= 1

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The solution is Lim [logx/log(2x)] = 1

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(b)

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Given function

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$\"\"$ \ \

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L\\'Hopital\\'s Rule :

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$\"image\"$

\

\

$\"\"$ \ \

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$\"\"$

\

\

$\"\"$

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= 1/2

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The solution is Lim [logx/log(x²)] = 1/2