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Learning Log #7

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2.2 The Limit of a Function Uses of the word Limit in everyday life (speed) Roughly speaking, the Limit is the y-value that the function is approaching as x approaches a certain number. Enter the seven functions into your calculator so we can explore the concept of a limit intuitively.

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From the home screen, find

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Do the same for the next five functions. Write the conclusion for each limit in your notes for each problem in mathematical notation. Example of a graph from the whiteboard

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The conclusions after looking at the table.

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NOTES:

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We only care about the values of the function near a. We do not care if there is a function value at x=a or if that value is the same as our limit.

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Illustration:

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2.2 IN-CLASS PROBLEMS

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Solve 5 2x = 16. 5 2x = 16 log 5 2x = log 16Take the common logarithm of each side. 2x log 5 = log 16Use the power property of logarithms. x = Divide each.

Solve 5 2x = 16. 5 2x = 16 log 5 2x = log 16Take the common logarithm of each side. 2x log 5 = log 16Use the power property of logarithms. x = Divide each.

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