MAT 1234 Calculus I Section 3.4 Limit at infinity

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Presentation transcript:

MAT 1234 Calculus I Section 3.4 Limit at infinity

Next Quiz 3.3, 3.4 Exam 2 on Friday. Please study!

Exam 2 Tutoring Record Pease give it to Kirsten. Make sure your name is on it. Get a new one for exam 3!

Preview

Caution on infinity

Example 1

Example 2

Example 3 horizontal asymptote

Remarks In the example above, the graph suggests what the limit should be. We will use the following theorem to compute limits. (Graphs are used as confirmations.)

Theorem

Example 4

Example 5

Example 6 Find the limit

Example 6

Example 7

Example 8

Remark

Note that we did not and cannot use the limit laws in this example. We used an “educational guess” which is acceptable for these type of problems at this level. If you want to see a better solution, which are not required for this class, it is in the next slide (hidden).

Example 8 (Hidden)

Example 9

Why?

Example 9 Correct Version

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