Questions from General Calculus


Q: Explain why the function is discontinuous at the given number a.

Explain why the function is discontinuous at the given number a. Sketch the graph of the function.

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Q: Guess the value of the limit (if it exists) by

Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct to six decimal places). x = 3.1, 3.05, 3.01, 3.001, 3.0001, 2.9, 2.95, 2.99, 2.999, 2.9999

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Q: Explain why the function is discontinuous at the given number a.

Explain why the function is discontinuous at the given number a. Sketch the graph of the function.

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Q: Explain why the function is discontinuous at the given number a.

Explain why the function is discontinuous at the given number a. Sketch the graph of the function.

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Q: Explain why the function is discontinuous at the given number a.

Explain why the function is discontinuous at the given number a. Sketch the graph of the function.

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Q: How would you “remove the discontinuity” off? In other

How would you “remove the discontinuity” off? In other words, how would you define fs2d in order to make f continuous at 2? f(x) = x2 - x – 2/x - 2

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Q: How would you “remove the discontinuity” off? In other

How would you “remove the discontinuity” off? In other words, how would you define fs2d in order to make f continuous at 2? f(x) = x3 – 8/x2 - 4

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Q: Explain, using Theorems 4, 5, 7, and 9

Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. f(x) = 2x2 –x – 1/ x2 + 1

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Q: Explain, using Theorems 4, 5, 7, and 9

Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. G(x) = x2 + 1/ 2x2 – x - 1

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Q: Explain, using Theorems 4, 5, 7, and 9

Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. Q(x) = 3 x – 2 / x3 - 2

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