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Mastering Limits in Precalculus: Graphs, Tables, Algebra Guide!

Learn how to find limits using graphs, tables, and algebra in honors precalculus. Understand the concept of limits as x approaches c and how to determine the intended height of the function. Practice different scenarios to master limit calculations.

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Mastering Limits in Precalculus: Graphs, Tables, Algebra Guide!

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  1. Honors Precalculus YOUR MINE DURING CALC TIME! Section 13.1: Finding Limits Using Graphs, Tables And Algebra, too! IBTWW…

  2. “The limit as x approaches c of f(x) equals N.” c is always an x-value. N is always a y-value. Ask yourself: As the x’s get close to c, what value do the y’s get close to? What is the intended height of the function at x=c? Do the y-values agree from each side? Technically, the x-values won’t ever reach c. The limit will only exist if the y-values agree as we approach from either side of the c-value! Both sides are going toward y = 1. 3 Limits

  3. What has changed from problem #1? Now the function doesn’t exist at x = c. But x doesn’t quite reach c, so it doesn’t matter. 3 The limit does not exist. The y-values don’t agree from either side of x = 1.

  4. Use your TABLE function. The function doesn’t exist at x = 1. Do the y-values agree near x = 5? Yes. (the limit exists) The limit will be the same as what you get when you plug 5 in for x. To two decimal places, the limit is 0.80.

  5. Now, who’s ready to try some? • Are you ready to be pushed to your LIMIT?!

  6. Honors Precalculus YOUR MINE DURING CALC TIME! Section 13.1: Finding Limits Using Graphs, Tables And Algebra, too! IBTWW…

  7. “The limit as x approaches c of f(x) equals N.” c is always an x-value. N is always a y-value. Limits

  8. Use your TABLE function.

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