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Limits at \(\infty\)

By the end of this lesson you should be able to :

- Compute horizontal and vertical asymptotes of rational, algebraic, exponential and arctan functions
- Compute derivatives using the product and quotient rules
- Compute derivatives of polynomials

Topic | Est. video completion time. | Textbook practice problems | |
---|---|---|---|

3 | Limits at \(\infty\) part I | 15 mins | Section 2.6 : 1,3,5,7, 15-33 (odd) |

4 | Limits at \(\infty\) part II | 15 mins | Section 2.6 : 40, 65(a), 67, 75, 81(a) |

3. Limits at \(\infty\) part I

By the end of this lesson you should be able to :

- give mean to the expression \[\lim_{x\to \infty} f(x) = L\]
- understand graphically what a limit as x goes to \(\pm\infty \) is
- compute limits at \( \pm \infty \) of rational functions
- compute limits at \( \infty \) of root functions

Once you have viewed the video complete the following problems from the textbook, section 2.6 : 1,3,5,7, 15-33 (odd)

Limits at \(\infty\) part 1 video

Notes:

4. Limits at \(\infty\) part II

By the end of this lesson you should be able to :

- compute limits at \(\pm \infty \) involving \(\tan^{-}(x) \)
- apply the change of variables formula for limits
- compute limits at \(\pm \infty \) involving exponential functions

Once you have viewed the video complete the following problems from the textbook, section 2.6 : 40, 65(a), 67, 75, 81(a)

Limits at \(\infty\) part 2 video

Notes: