[[Year One 問數]]Advance Maths Q20241208|| MATH1520A(2024)|| q9|| Limit|| L'Hospital's Rule|| MVT

[@DrKLiuMaths]

歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!

[@fesosorpro1106]

Actually after the first application of lhopital in part b you can kill off the 2nd limit by considering sin(sinx)/2x = (sin(sinx)/sinx)(sinx/x)(1/2) to avoid the 2nd application of the lhopital rule. Also in part a I think it is easier to apply the estimation lemma on abs(the integral) and show that it's 0 by bounding it by abs(x(1-x)) for small enough x. Your method still works perfectly for both parts though.

[@gnahihz]

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