Limit of x^x as x approaches 0 | Calculus 1 Exercises

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We evaluate the limit of x^x as x goes to 0 from the right. To do this we use e, the natural log and its properties, and then apply LHospital's rule for the exponent, which is in an indeterminate form. We find the limit of x^x is 1. #apcalculus #calculus1

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Hey, thank you very much for putting this together. This video really helped with a related problem I was trying to work out (lim as x approaches 0 of tan of x^x).

michaelandcarmenmaguire
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Great video! I was wondering, could you make a video about limit supremum/infimum? They're all over the place in my real analysis textbook!

davidshi