I've just started learning about limits. Why can we say limx→∞sinxx=0
even though limx→∞sinx does not exist?
It seems like the fact that sin is bounded could cause this, but I'd like to see it algebraically.
limx→∞sinxx=limx→∞sinxlimx→∞x=?
L'Hopital's rule gives a fraction whose numerator doesn't converge. What is a simple way to proceed here?
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