Does the following function have a limit at a=0? If so, what is it? Yes, it is 1.
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Does the following function have a limit at a=0? If so, what is it? No, because it approaches multiple numbers.
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The next function has a constant k in it that you can change with the slider. Find a value for k so that the limit of the function exists at every point. Answer: When k=-1
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negative 10
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Why does this value for k work? Explain what you see geometrically, and if possible explain algebraically. Answer: Geometrically, it is linear. The function is reduced to f(x)=x-2 when k=-1.
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When you are done, save this graph and share it with me (jbowman@smith.edu).
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