Questions from General Calculus


Q: If / prove that limx→0 f

If prove that limx→0 f(x) = 0.

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Q: Show by means of an example that limx→a [f

Show by means of an example that limx→a [f(x) = g(x)] may exist even though neither limx→ a f(x) nor limx → a g(x) exists.

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Q: Show by means of an example that limx → a [f

Show by means of an example that limx → a [f(x)g(x)] may exist even though neither limx → a f(x) nor limx → a g(x) exists.

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Q: Given that / find the limits that exist

Given that find the limits that exist. If the limit does not exist, explain why.

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Q: The graphs of f and t are given. Use them to

The graphs of f and t are given. Use them to evaluate each limit, if it exists. If the limit does not exist, explain why.

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Q: Use the graph of the function f to state the value of

Use the graph of the function f to state the value of each limit, if it exists. If it does not exist, explain why. f(x) = 1 / 1 + e1/y

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Q: Use a graph to find a number δ such that if

Use a graph to find a number δ such that if |x - π/4 | < δ then |tan x - 1| < 0.2

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Q: Use a graph to find a number δ such that if

Use a graph to find a number δ such that if |x - 1| < δ then | 2x/x2 + 4 - 0.4| < 0.1

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Q: For the limit / illustrate Definition 2 by

For the limit illustrate Definition 2 by finding values of that correspond to ε= 0.2 and ε = 0.1.

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Q: For the limit / illustrate Definition 2 by

For the limit illustrate Definition 2 by finding values of that correspond to ε = 0.5 and ε = 0.1.

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