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- With the help of partial fraction or otherwise, find the series representation of a) about z = 0 for the region 2 < |z| < 3, b) about z = 2 for the region 1 < |z − 2|. (Hint: let w = z − 2.) In each case, write explicitly some non-vanishing terms to illustrate the series.Find the truncuation error of the maclaurin series sinx cosx given that is truncated into three terms. See the example below...Find the value of tanh^2 (0.25) using maclaurins series
- By using Power series, show that Taurinus's "log spherical" formula cosh(a/K)=cosh(b/K)cosh(c/K)-sinh(b/K)sinh(c)(K)cos(A) reduces to the law of cosines as k approaches infinity.Write the nth term ( general term) for these Maclaurin series 1) (e^x)(cosx) 2)(e^x)(sinx)Show that the Maclaurin Series for sinx and cosx are the special forms of TS evaluated at x=0. Please answer ASAP it's an urgent. I will really really upvote. Thanks
- Suppose the interval [−3,−1] is partitioned into n=4 subintervals. What is the subinterval length Δx? List the grid points x0, x1, x2, x3, x4. Which points are used for the left, right, and midpoint Riemann sums?already asked this but i hope i get a more credible answer since it says the series diverge. pls provide complete solutionAttached. Find the Laurent series about 0 valid in the indicated region.
- Find two linearly independent power series solutions centered at x0=0 to y''+x2y = 0 state the interval of convergence for these power series.Answer both item with compete solution. Taylor series and maclaurins series expansion topic.Please help with the question no 3! "Laurent series valid for the annular region"