An Elusive Limit Question 4-5: Evaluating the Limit using Taylor Series (and Wolfram Alpha)

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In this video I go over the earlier trigonometric (and inverse trigonometric) limit and solve it by writing the numerator and denominator as Taylor series. Using the incredibly powerful Wolfram Alpha online calculator to first determine the Taylor series, I show that they cancel out to obtain the limit equal to 1. Both Taylor series start off with the same x^7 term, which means we can also apply l'Hospital's Rule 7 times to obtain the same answer, just like in Question 3. Finally I solve the entire limit directly using Wolfram Alpha, which magically solves it in a fraction of a second!

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