question archive Determine the radius of convergence of the power series 2 k5"
Determine the radius of convergence of the power series 2 k5"
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Determine the radius of convergence of the power series 2 k5" . Then test the endpoints to determine the interval of convergence. Radius of convergence Interval of convergence 4. 21) Find the ?rst four nonzero terms of the Taylor series for the ?Jnction f (x) =c03x centered at a = 311'. Derive these terms from the beginning, no shortcuts. b) Write the power series using summation notation. b)
5. Use the Taylor series in Table 11.5 to find the first six nonzero terms of the Taylor series for the function e - 2 - x centered at 0. X - U 6. Evaluate the limit lim- ex -1 using Taylor series from Table 11.5. * -+ 0 6.- 7. Differentiate the Taylor series about 0 for the function f (x) = sinx (start with the series as it is given in Table 11.5). 7.
