The limit has to be
determined.
If we substitute x = 0, the result
is the indeterminate form
. In this case it is possible to use
l'Hospital's rule and replace the numerator and denominator with their
derivatives.
x
The limit is
now:
x/(2x)
If the substitution x = 0 is made here, the result
is again the indeterminate form . Using l'Hospital's rule, replace the numerator
and denominator with their derivatives. This
gives:
x/2
Substituting x = 0 gives the result
1/2.
The limit
.
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