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- For each power series, find the center and the radius of convergence R, and the open interval where it converges absolutely (or say that it…
- Find the interval of convergence of _n=1^∞ (2x + 1)^n6^n\,(n+1)√(n+1).
- Find the center, the radius and the interval of convergence of _n=1^∞ n\,(2x+3)²n9^n.
- Find the interval of convergence of _n=1^∞ √(n)\,(x-3)^n(n²+1)\,4^n.
- Find the interval of convergence of _n=2^∞ (-1)^n (x+4)^n3^n n.
- A power series _n=1^∞ c_n (x-2)^n converges conditionally at x = -3.
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Power series and the interval of convergence: the lesson ›More Chapter 6 worksheets: Power series and Taylor series
- 6.1Taylor polynomials
- 6.2Power series and the interval of convergence
- 6.3Representing functions as power series
- 6.4The common Maclaurin series
- 6.5The Taylor remainder and the Lagrange error bound
- 6.6The binomial series
- 6.7Using series to evaluate limits and integrals