Logarithms | Exponentials |
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As an application, let us compute the limit, if it exists, of
for
arbitrary large. Note that we have here a situation of the type described above in subsection subsubsection Numerator and denominator have both an infinite limit.
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As
and
,
we have:
.
Note that there are other ways to solve this question; one of them will appear with L'Hopital's rule (Theorem L'Hopital), another one with Taylor polynomials (v.i. Def. Taylor polynomials).
Noah Dana-Picard 2007-12-28