Questions from General Calculus


Q: Use the definition of continuity and the properties of limits to show

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.

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Q: Use the definition of continuity and the properties of limits to show

Use the definition of continuity and the properties of limits to show that the function g (x) = 2 √3-x is continuous on the interval (-∞, 3].

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Q: (a). A particle starts by moving to the right along

(a). A particle starts by moving to the right along a horizontal line; the graph of its position function is shown. When is the particle moving to the right? Moving to the left? Standing still? (b). D...

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Q: Evaluate the limit, if it exists. lim x →

Evaluate the limit, if it exists. lim x → 0 (4 + h)2 – 16 / h

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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: Evaluate the limit, if it exists. lim x →

Evaluate the limit, if it exists. lim x → -4 1/4 + 1/x /4 + x

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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.

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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. L (t) = e-5t cos 2πt

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