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The limit as x approaches a number whose function value is definite:

A limit gives us language for describing how function values (y-values) behave as the domain values (x-values) approach some particular number (or ∞ or -∞). In other words, a limit tells us:

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The limit as x approaches a number whose function value is definite:

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  1. A limit gives us language for describing how function values (y-values) behave as the domain values (x-values) approach some particular number (or ∞ or -∞). • In other words, a limit tells us: • what the y-values of a function are approaching as x approaches some value c (but not necessarily equal to c) or it tells us • the intended y-value of a function as x approaches c (we will see this when x approaches a hole).

  2. The limit as x approaches a number whose function value is definite:

  3. The limit as x approaches an asymptote:(limits that fail to exist)

  4. : Parent signature and test corrections on loose-leaf!!! Another example of when a limit fails to exist:

  5. The limit as x approaches a hole:

  6. Some more examples:

  7. SUMMARY OF THE RELATIONSHIP BETWEEN HORIZONTAL AND VERTICAL ASYMPTOTES AND LIMITS: HORIZONTAL ASYMPTOTE VERTICAL ASYMPTOTE

  8. END-BEHAVIOR MODEL (EBM) FOR RATIONAL FUNCTIONS: HOW DO WE USE THIS END-BEHAVIOR MODEL (EBM): EXAMPLE OF (EBM):

  9. WHEN HAVE WE USED THE “EBM” IN A SIMILAR FASHION? To find horizontal asymptotes. LET’S EXAMINE THE PREVIOUS EXAMPLE MORE CLOSELY:

  10. Review for Test:

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