Note, the astute mathematician will notice that in our example above, we are somewhat cheating. To apply L'H{{CMD_82}} opital's rule, we need to know the derivative of sine; however, to know the derivative of sine we must be able to compute the limit: {{MATH_83}} Hence using L'H{{CMD_84}}pital's Rule to compute this limit is a circular argument! We encourage the gentle reader to view L'H{{CMD_85}}pital's rule a ``reminder'' as to what is true, not as the formal derivation of the result. {{CMD_86}}