Exam 11: Limits: A Preview to Calculus

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Find the limit, if it exists. Find the limit, if it exists.

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Find Find    Find

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Find the limit, if it exists. Find the limit, if it exists.

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Find the limit, if it exists. Find the limit, if it exists.

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Evaluate the summation. Evaluate the summation.

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A person standing near the edge of a cliff 290 feet high throws a rock upward with an initial speed of 80 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time: A person standing near the edge of a cliff 290 feet high throws a rock upward with an initial speed of 80 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time:   Find the velocity of the rock when t = 7 seconds. Find the velocity of the rock when t = 7 seconds.

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Find the derivative of the function at the specified value of x. Find the derivative of the function at the specified value of x.

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Find the limit, if it exists. Find the limit, if it exists.

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Find the limit, if it exists. Find the limit, if it exists.

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Evaluate the summation. Evaluate the summation.

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Determine whether the sequence converges. If it does converge, state the limit. Determine whether the sequence converges. If it does converge, state the limit.

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Complete a table of values to four decimal places and use the result to estimate the limit. Complete a table of values to four decimal places and use the result to estimate the limit.

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Find the limit, if it exists. Find the limit, if it exists.

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The concentration C of a particular drug (in mg/dL) in a person's bloodstream t minutes after injection is given by The concentration C of a particular drug (in mg/dL) in a person's bloodstream t minutes after injection is given by    . What do you expect the concentration to be after several days? . What do you expect the concentration to be after several days?

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Find the limit, if it exists. Find the limit, if it exists.

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Find Find    Find

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For the graph of the function f shown, state the value of the given quantity. For the graph of the function f shown, state the value of the given quantity.     For the graph of the function f shown, state the value of the given quantity.

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Find the limit by using limit laws and special limits. Find the limit by using limit laws and special limits.

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Find Find      .   . Find      .

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Determine whether the sequence converges. If it does converge, state the limit. Determine whether the sequence converges. If it does converge, state the limit.

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