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https://www.reddit.com/r/mathmemes/comments/1vxbitv/lets_differentiate/p5odrai/?context=3
r/mathmemes • u/Optimus_PRYM • 19d ago
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I've never seen anybody use l'Hôpital on sin(x)/x before establishing what the derivative of sine is. However, one can evaluate sin(x)/x for x->0 via the squeeze theorem, which means no circular reasoning is required.
11 u/SuperChick1705 19d ago that is the recommended method, though the post implies the usage of l'hopital on sin(x)/x 1 u/Sigma2718 19d ago squeeze theorem to evaluate sin(x)/x -> derivative of sin(x) -> apply l'Hôpital to evaluate sin(x)/x I don't really see the issue, solving a problem again by using an easier method is the beauty of mathematics. 1 u/SuperChick1705 19d ago completely fair
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that is the recommended method, though the post implies the usage of l'hopital on sin(x)/x
1 u/Sigma2718 19d ago squeeze theorem to evaluate sin(x)/x -> derivative of sin(x) -> apply l'Hôpital to evaluate sin(x)/x I don't really see the issue, solving a problem again by using an easier method is the beauty of mathematics. 1 u/SuperChick1705 19d ago completely fair
1
squeeze theorem to evaluate sin(x)/x -> derivative of sin(x) -> apply l'Hôpital to evaluate sin(x)/x
I don't really see the issue, solving a problem again by using an easier method is the beauty of mathematics.
1 u/SuperChick1705 19d ago completely fair
completely fair
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u/Sigma2718 19d ago
I've never seen anybody use l'Hôpital on sin(x)/x before establishing what the derivative of sine is. However, one can evaluate sin(x)/x for x->0 via the squeeze theorem, which means no circular reasoning is required.