Title: 4'4 Indeterminate Forms and LHospitals Rule
14.4 - Indeterminate Forms and LHospitals Rule
2LHospitals Rule
Suppose f and g are differentiable functions and
g'(x) ? 0 near a (except possibly at a). Suppose
that or that Then if the limit on the
right side exists (or is 8).
3LHospitals Rule
In simpler terms, if after substituting in a,
Then if the limit on the right side exists
(or is 8).
4LHospitals Rule if f(a) f(b) 0
5Indeterminate Forms
1. 0 / 0 or 8 / 8 Strategy Apply
LHospitals Rule Directly 2. 0
8 Strategy Apply LHospitals Rule to
6Indeterminate Forms
3. 8 - 8 Strategy Try factoring,
rationalizing, finding common denominator, etc.
to get into form 1 above. 4. 00 or 80 or
18 Strategy Use f (x)g(x) eg(x) ln f (x)
or ln y ln f(x)g(x). Then,