Questions from General Calculus


Q: Use a table of values to estimate the value of the limit

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically.

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Q: Find the limit or show that it does not exist.

Find the limit or show that it does not exist.

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Q: Find the limit or show that it does not exist.

Find the limit or show that it does not exist.

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Q: Find the limit or show that it does not exist.

Find the limit or show that it does not exist.

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Q: Find the limit or show that it does not exist.

Find the limit or show that it does not exist.

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Q: a. For f(x) = x/ln x

a. For f(x) = x/ln x find each of the following limits. b. Use a table of values to estimate c. Use the information from parts (a) and (b) to make a rough sketch of the graph of f.

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Q: For f(x) = 2/x – 1/

For f(x) = 2/x – 1/ln x find each of the following limits. e. Use the information from parts (a)–(d) to make a rough sketch of the graph of f.

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Q: a. Estimate the value of / by

a. Estimate the value of by graphing the function f(x) = x2 + x + 1 + x. b. Use a table of values of f(x) to guess the value of the limit. c. Prove that your guess is correct.

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Q: a. Use a graph of f(x) =

a. Use a graph of f(x) = 3x2 + 8x + 6 - 3x2 + 3x + 1 to estimate the value of limx→∞ f(x) to one decimal place. b. Use a table of values of f(x) to estimate the limit to four decimal places. c....

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Q: Find the horizontal and vertical asymptotes of each curve. If you

Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes. y = 5 + 4x/x + 3

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