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1. Calculus I Section 4.4
Indeterminate Forms and LHospitals Rule
2. Section 4.4 Indeterminate form of type 0/0
3. Section 4.4 Indeterminate form of type 8/8
4. Section 4.4
LHospitals Rule:
Suppose f and g are differentiable and g(x) ?0 on an open interval
I that contains a (except possibly at a). Suppose that
Or that
Then
If the limit on the right exists or is
5. Section 4.4 Evaluate the following Limit: Indeterminate form of type 0/0
6. Section 4.4 Evaluate the following limit: Indeterminate form of type 8/8
7. Section 4.4 Indeterminate Products of the form: 0 * 8
To deal with this type of limit, we shall write
fg = OR fg =
Then apply LHospital Rule.
8. Section 4.4 Evaluate the following limit:
9. Section 4.4 Indeterminate Difference of type: 8 - 8
To deal with this type of limit, we will try to convert the
difference into a quotient and see if we could apply the
LHospital Rule.
10. Section 4.4 Evaluate the following limit:
11. Section 4.4 Indeterminate Powers arise as:
In the limit expression:
To deal with these types, we either take
the natural logarithm of the power or by
writing the function as an exponential
with base e.
12. Section 4.1 Evaluate the following limit:
13. Section 4.4 Reference:
Stewart, Single Variable Calculus
Early Transcendentals
