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Step-by-step method for computing a Taylor series, with example of finding the Taylor series expansion of f(x) = (1-x)-1 about x = 0.
Taylor series expansions of (1-x)-1, ex, sin(x), and cos(x) about any point x = a.
Six questions which involve computing Taylor Series expansions of logarithmic and trigonometric functions.
Two questions that involve finding the Taylor series for √(1+x) and the inverse tangent function.
Three multi-part questions which involve finding power series for various trigonometric, exponential, logarithmic, and rational functions, in additional to finding the radius of convergence and evaluating four limits using power series.