I was just wondering... it is used when the limit is of indetermined form: 0/0 or inf/inf, but is it valid to apply it to a "regular" limit? technically it seems to give the same answer...
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If I recall, his rule was to the effect that the ratio of the limits, when the limits are 0 or [itex]\infty[/itex], is the ratio of the derivatives. That said, you certainly cannot apply it to a regular limit.