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Evaluating Limits Analytically Theorems and Examples

Discover how to find limits of trigonometric, exponential, and logarithmic functions using Theorems 2.6, 2.7, and 2.8. Learn about Squeeze Theorem applications and functions agreeing at all but one point with practical examples.

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Evaluating Limits Analytically Theorems and Examples

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  1. Section 2.3 Evaluating Limits Analytically

  2. Theorems Involving Limits

  3. Theorems Involving Limits

  4. Theorems Involving Limits (cont.)

  5. Theorems Involving Limits

  6. Example 1 Find .

  7. Example 2 Find .

  8. Example 3 Find .

  9. Example 4 Find .

  10. Other Theorems Involving Limits • Theorem 2.6 deals with finding the limits of trigonometric, exponential, and logarithmic functions. • Theorem 2.7 talks about fnc.’s that agree at all but one point. • Theorem 2.8 is the Squeeze Theorem.

  11. Example 5 Find .

  12. Example 5 Find given .

  13. Limits of Transcendental Functions

  14. Example 6 Find the limit if it exists.

  15. Functions Agreeing at All But One Point

  16. Example 7 Find .

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