Find a power series representation centered at 0 for the function f(x) = 5 5+x power...

 

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Find a power series representation centered at 0 for the function f(x) = 5 5+x power series=1-x+x². , using the = o(-x) for x < 1. Give the interval of T= 1+x convergence (IOC) for the resulting series. Use the first three nonzero terms of the series sinx= x -- -0.5 Eko(-1). (2k+1)! to estimate the value of the integral sin(x2) dx. Find a power series representation centered at 0 for the function f(x) = 5 5+x power series=1-x+x². , using the = o(-x) for x < 1. Give the interval of T= 1+x convergence (IOC) for the resulting series. Use the first three nonzero terms of the series sinx= x -- -0.5 Eko(-1). (2k+1)! to estimate the value of the integral sin(x2) dx.