CEGEP Calculus I Limits and Continuity — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 7 definitions and 4 theorems, 7 worked examples, in 10 printable pages. This page lists what the notes cover. The notes themselves come with the CEGEP Calculus I bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Limits and Continuity — what the notes cover
6 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
What you need
Also in this section: 1 note on method and common errors.
What a limit is
- Definition — Limit
- Definition — One-sided limits
Also in this section: 1 worked example, 1 note on method and common errors.
The limit laws and direct substitution
- Theorem — The limit laws
- Theorem — Direct substitution
Also in this section: 1 worked example, 1 note on method and common errors.
Indeterminate forms and algebraic manipulation
- Definition — Indeterminate form
Also in this section: 2 worked examples, 1 note on method and common errors.
Infinite limits and limits at infinity
- Definition — Infinite limit and vertical asymptote
- Definition — Limit at infinity and horizontal asymptote
- Theorem — End behaviour of a rational function
Also in this section: 1 worked example, 1 note on method and common errors.
Continuity
- Definition — Continuity at a point
- Definition — Continuity on an interval
- Theorem — The Intermediate Value Theorem
Also in this section: 2 worked examples, 1 note on method and common errors.
Where the notes are
The notes are one of the documents in the CEGEP Calculus I Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Limits and Continuity practice worksheet is free and stays free.
Every CEGEP Calculus I topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 CEGEP Calculus I units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.
Limits and Continuity practice worksheet About the Limits and Continuity unit test