Questions from General Calculus


Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

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Q: Find the radius of convergence of the series ∑∞n=1

Find the radius of convergence of the series ∑∞n=1 (2n)!/(n!)2 xn.

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Q: Find the Taylor series of f (x) = sin x

Find the Taylor series of f (x) = sin x at a π/6.

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Q: Find the Taylor series of f (x) = cos x

Find the Taylor series of f (x) = cos x at a = π/3.

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Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: Sketch the curve and find the area that it encloses.

Sketch the curve and find the area that it encloses. r = 2 + cos 2θ

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