Questions from General Calculus


Q: Evaluate the indefinite integral as an infinite series. f arctan

Evaluate the indefinite integral as an infinite series. f arctan (x2), dx

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Q: Use series to approximate the definite integral to within the indicated accuracy

Use series to approximate the definite integral to within the indicated accuracy.

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Q: Use the given graph of f (x) = x2 to

Use the given graph of f (x) = x2 to find a number δ such that if

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Q: (a). Investigate the family of curves defined by the polar

(a). Investigate the family of curves defined by the polar equations r = sin nθ, where n is a positive integer. How is the number of loops related to n? (b). What happens if the equation in part (a) i...

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Q: Use series to approximate the definite integral to within the indicated accuracy

Use series to approximate the definite integral to within the indicated accuracy.

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Q: Use series to approximate the definite integral to within the indicated accuracy

Use series to approximate the definite integral to within the indicated accuracy.

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Q: Use series to approximate the definite integral to within the indicated accuracy

Use series to approximate the definite integral to within the indicated accuracy.

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Q: Use series to evaluate the limit. limx→0 x

Use series to evaluate the limit. limx→0 x – 1 ln (1 + x)/x2

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Q: Use series to evaluate the limit. limx→0 1

Use series to evaluate the limit. limx→0 1 – cos x/1 + x - ex

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Q: Use series to evaluate the limit. limx→0 sin

Use series to evaluate the limit. limx→0 sin x – x + 1/6 x3/ x5

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