sin (2n-1 ( a) Does Σ-1 converge absolutely, non-absolutely, or diverges. sin(2n-1 (D) Does ΣΗ converge absolutely, non-absolutely, or diverges. 5n-3 5.
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- 6. Consider xn+1 = (1/3)(2xn - 9/xn2). Does it converge for any nonzero initial point? If so, to what values?1.)Determine whether the Fourier series of the following functions converge uniformly or not. a. f(x) = ex, - 1 < x < 1 b. f(x) = sinh(x), - π< x < π Answer: a)The periodic function is not continuous at ± etc., so convergence cannot be uniform. b. Like a, the periodic function has jumps at ±π etc.8.4.12 Determine whether the series is convergent or divergent. Sigma (-1)^k (k+1)/k^3 from k=2 to inf =?
- 1)Determine whether the Fourier series of the following functions converge uniformly or not. A) f(x) = ex, - 1 < x < 1 ***Solve using power and series (Fourier)(please)** answer: a) The periodic function is not continuous at ± π etc., so the convergence cannot be uniform.determine the radius and convergence of E n=1 5xn/3n2Q.1 Use Taylor series to write the expansion of f(x)=cos(3x) at x=0?