Monday, 11 April 2016

limits - Evaluating and proving limlimitsxtoinftyfracsinxx

I've just started learning about limits. Why can we say limxsinxx=0

even though limxsinx does not exist?



It seems like the fact that sin is bounded could cause this, but I'd like to see it algebraically.



limxsinxx=limxsinxlimxx=?



L'Hopital's rule gives a fraction whose numerator doesn't converge. What is a simple way to proceed here?

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