Representing functions by power series Identify the functions represented by the following power series.
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- arctan (k) 7. Use inequalities to compare the series to constant multiples k = 1 of a simpler p-series. Hint: Graph y = arctan(x) for x > 1. What are the corresponding y's? 1 4 IT Write the Maple “sum" command that gives the 4-series aum k* k = 1 90 Combine this with your inequalities to find lower and upper bounds for the first series. Give both exact and decimal bounds, the latter rounded to 4 decimal places.arrow_forwardfined a power series representation of the function f(x)= Be sure to simplify the power (x-5)² series.arrow_forwardH.W 2/ Answer the following points Find the first three nonzero terms of Maclaurin series for the functions f(x) = e and other function f(x) = e ii. By depending on point (i), find the series for function f(x) = Cosh(x) where Cosh(x) = te Ans/ ) e=1+++ ti) Cosh(x) = 2 e =1- - +1 Cosh(x) = 1+Earrow_forward
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