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Limit of x^3*e^(-x^2) as x approaches Infinity with L'Hospital's Rule | Calculus 1 Exercises
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We evaluate the limit of x^3*e^(-x^2) as x goes to infinity using L'Hospital's rule. We'll try evaluating the limit and find it has an indeterminate form infinity/infinity. Thus, we take the derivatives of the numerator and denominator and apply L'Hospital's rule. Again we'll find an indeterminate form, so we'll have to use L'Hospital's rule repeatedly. A second application will finish the problem. Let me know if you have questions on how to use L'Hospital's rule! Don't forget to simplify before applying L'Hospital's rule multiple times! #Calculus1
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Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
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