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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)

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)

Notes: