In Problems 1–10 find the interval and radius of convergence for the given power series.
5.
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FIRST COURSE IN DIFF.EQ.-WEBASSIGN
- Problem 2. Assume that the power series C (x – 12)" has a radius of convergence of R = 6. What can we say about the series when we evaluate at the following values of z? v 1. At z = 15. v 2. At z = 1. 3. At z = 18. ? The series converges. The series diverges. We cannot conclude whether the series converges or diverges.arrow_forward2.2arrow_forward(1) EX Use Toylor/Maclaucin's Series to.solve the Following Ivp's. (s) (1-x)y) + xy(x) + 3y(x)-0 y6) = 2 g) - 3. (4) (1-x) y') + 2xýcx) =0, yl0) z0 (6) yw - xý (x) + 2y (x)=0 0 , yo)=L, ýlo):-2arrow_forward
- IV. Determine whether the given series is convergent or divergent. Justify your answers. 1 (2n)! (a) (e) E(-1)". 4n2 – 8n +3 n=1 +00 In n (b) E(-1)"- n=2arrow_forward1 1. Write the sum of the first four nonzero terms of the power series for - (Hint: 1- 2x 1 Use the power series for 1 x4 2. Write the sum of the first four nonzero terms of the power series for 1- 2x .4 3. Suppose f(x) = G -dx and f(0) = 2. Write the sum of the first four 1- 2x 24 -dx. 2x nonzero terms of the power series forarrow_forward
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