So what is the limit of [cot(x)]^2 as x approaches infinity?

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The limit of [cot(x)]^2 as x approaches infinity does not converge to a specific value, as the function oscillates between 0 and infinity. Attempts to apply L'Hôpital's rule are complicated by the derivatives not simplifying effectively. Plotting the function visually confirms its oscillatory behavior. The consensus is that the limit does not exist due to this continuous oscillation. Therefore, the limit of [cot(x)]^2 as x approaches infinity remains undefined.
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Using L'hospitals rule, find the limit
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L' hospital rule
I seem to stuck using L'hospital's rule ,the derivatives of even 4th order are not simplying things.
 
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