Taylor Series and Power Series
Taylor Series and Power Series Exercise 1 : Expansion of a Function in a Power Series Expand the following functions at $x_0 = 0$ in a series up to the first four terms: $f(x) = \sqrt{1 - x}$ $f(t) = \sin(\omega t + \pi)$ $f(x) = \ln[(1 + x)^5]$ $f(x) = \cos x$ $f(x) = \cosh x$ Exercise 2 : Interval of Convergence of a Power Series Obtain the radius of convergence of the following series: ...