Lesson 4: 4.4 Indeterminate Forms and L'Hospital's Rule
Duration of Days: 3
Lesson Objective
Decide whether a limit is of an indeterminate form and apply L'Hospital's rule in order to determine that limit.
- What are indeterminate forms of a limit?
- Why does L'Hospital's rule allow us to find a limit?
- How do we apply L'Hospital's rule in order to find a limit?
- indeterminate forms
- indeterminate quotients, products, differences, and powers
- L'Hospital's rule
(Solving indeterminate limits using L'Hospital's Rule)
- Rules for Limits, L'Hospital's rule for indeterminate forms
- DOK levels 1-4
- applications to fluid dynamics
- finding marginal cost, revenue, and elasticity of demand
- terminal velocity and relativistic mechanics
- limit of compound interest formulas
Students at this point are familiar with limits, but may struggle with some of the indeterminate forms. Also, the algebra of manipulating higher indeterminate forms to be in the quotient form to allow application of L'Hospital's rule can often be challenging for students.
Homogeneous grouping and whole class discussion
section assessment
problems assigned from book