Table of contents
- 0. Functions(392)
- Introduction to Functions(59)
- Piecewise Functions(23)
- Properties of Functions(36)
- Common Functions(64)
- Transformations(25)
- Combining Functions(80)
- Exponent rules(0)
- Exponential Functions(9)
- Logarithmic Functions(1)
- Properties of Logarithms(10)
- Exponential & Logarithmic Equations(17)
- Introduction to Trigonometric Functions(17)
- Graphs of Trigonometric Functions(14)
- Trigonometric Identities(21)
- Inverse Trigonometric Functions(16)
- 1. Limits and Continuity(580)
- 2. Intro to Derivatives(139)
- 3. Techniques of Differentiation(288)
- 4. Applications of Derivatives(369)
- 5. Graphical Applications of Derivatives(211)
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions(101)
- 7. Antiderivatives & Indefinite Integrals(1)
- 8. Definite Integrals(0)
- 9. Graphical Applications of Integrals(0)
- 10. Physics Applications of Integrals (0)
1. Limits and Continuity
Finding Limits Algebraically
1. Limits and Continuity
Finding Limits Algebraically: Videos & Practice Problems
53PRACTICE PROBLEM
A library fines $0.50 for the first day (or any part of the first day) a book is overdue and $0.25 for each additional day (or any part of a day) the book is not returned.
Determine limt→4.5f(t), where f(t) represents the total fine as a function of the number of overdue days t.
A library fines $0.50 for the first day (or any part of the first day) a book is overdue and $0.25 for each additional day (or any part of a day) the book is not returned.
Determine limt→4.5f(t), where f(t) represents the total fine as a function of the number of overdue days t.