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First, we need to write this expression as a fraction before we
can try to apply l'Hospital's rule:
Written in this form we see that we can apply l'Hospital's rule.
It leads to the expression
This is again an expression for which l'Hospital's rule applies.
We get the expression
For this expression we get that the limit as x approaches zero
is zero. Hence, according to l'Hospital's rule applied twice we
get
= 0
Interactive Real Analysis, ver. 1.9.5
(c) 1994-2007, Bert G. Wachsmuth
Page last modified: Mar 28, 2007