Questions from General Calculus


Q: The graph of f is given. /

The graph of f is given. a. Find each limit, or explain why it does not exist. b. State the equations of the horizontal asymptotes. c. State the equations of the vertical asymptotes. d. At what...

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Q: Sketch the graph of a function f that satisfies all of the

Sketch the graph of a function f that satisfies all of the following conditions: f is continuous from the right at 3

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Q: Find the limit. /

Find the limit.

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Q: Find the limit. /

Find the limit.

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Q: Sketch the region in the plane defined by each of the following

Sketch the region in the plane defined by each of the following equations.

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Q: Graph the function f(x) = sin(π/

Graph the function f(x) = sin(π/x) of Example 4 in the viewing rectangle [-1, 1] by [-1, 1]. Then zoom in toward the origin several times. Comment on the behavior of this function.

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Q: Find all values of a such that f is continuous on R

Find all values of a such that f is continuous on R:

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Q: A fixed point of a function f is a number c in

A fixed point of a function f is a number c in its domain such that f(c) = c. (The function doesn’t move c; it stays fixed.) a. Sketch the graph of a continuous function with domain [0, 1] whose rang...

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Q: If limx → a [f(x) + g(

If limx → a [f(x) + g(x)] = 2 and limx → a [f(x) – g(x)] = 1, find limx → a [f(x)g(x)].

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Q: a. If we start from 0° latitude and proceed in

a. If we start from 0° latitude and proceed in a westerly direction, we can let T(x) denote the temperature at the point x at any given time. Assuming that T is a continuous function of x, show that a...

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