Questions from General Calculus


Q: Guess the value of the limit / by

Guess the value of the limit by evaluating the function f(x) = x2/2x for x = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 50, and 100. Then use a graph of f to support your guess.

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

a. Use a graph of f(x) = (1 – 2/x)2 to estimate the value of limx→∞ f(x) correct to two decimal places. b. Use a table of values of f(x) to estimate the limit to four decimal places.

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Q: Evaluate the limit and justify each step by indicating the appropriate properties

Evaluate the limit and justify each step by indicating the appropriate properties of limits.

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Q: Evaluate the limit and justify each step by indicating the appropriate properties

Evaluate the limit and justify each step by indicating the appropriate properties of limits.

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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: 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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