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Originally Posted by rbayer
L'Hopital's Rule is actually usually used for computing limits. For example, to compute
lim x/sin(x) as x-->0, we can apply L'Hopitals rule to find that
lim x/sin(x) = lim 1/cos x = 1.
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also thus used in calculus for finding the limits of infinite integrals (happened to be doing that a couple of days ago in calculus, so I mentioned it in that context).
