How can you use L'Hopital's rule to find the limit when x approaches infinity?

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SUMMARY

The discussion focuses on applying L'Hopital's rule to evaluate the limit of the expression lim (e^((x^3)*tan(1/x))/e^(x^2)) as x approaches infinity. Participants agree that the first step is to simplify the limit by finding lim (x^3*tan(1/x)-x^2) before applying L'Hopital's rule. This method is preferred over alternative approaches suggested by other users. The consensus is that L'Hopital's rule provides a more straightforward solution to this limit problem.

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erogol
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lim (e^((x^3)*tan1/x))/e^(x^2)
x goes infinite
 
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Yes. Hint: find the limit of x^3*tan(1/x)-x^2 first.
 
erogol said:
lim (e^((x^3)*tan1/x))/e^(x^2)
x goes infinite
I think you should use L'Hopital's rule. It may not be convinient to use the method given by yyat
 

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