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RGFT Task 2      . L'Hopital's Rule allows us take a short cut in evaluating the limit of a problem , For example take the limit , If we attempt to solve by substitution both the numerator and denominator , , tend to zero so the limit can range from zero to infinity or something in . . , between The limit is undefined By l'Hopital's rule we simply take the . derivatives of top and bottom of the fraction separately This yields = 6 Another case = This would become = e We can see from the above examples that l Hopital Rule revolutionizes the way . a limit is solved by an average Calculus student When direct substitution is not , possible we can now find out the limit easily when the equation meets certain . , qualifications In other words l Hopital s Rule tells us that if we have an indeterminate form or then all we need to do is differentiate the numerator
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