Consider the functions y D. For y A. Write the Taylor expansions for the two functions...

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Consider the functions y D. For y A. Write the Taylor expansions for the two functions about x = 0. What is similar about the two series? What is different? 1 1+x²' B. Looking at the series, which function do you predict will be greater over the interval (–1,1)? 1 1+x² and y = 1 — sin(x²). the radius of convergence is R = C. Are these functions even or odd? E. For y = 1 - sin(x²), the radius of convergence is R - (type inf if the radius of convergence is infinite to get ∞). (type inf if the radius of convergence is infinite to get ∞). Looking at the relative sizes of the successive terms in your series, note how the radii of convergence you found make sense. Consider the functions y D. For y A. Write the Taylor expansions for the two functions about x = 0. What is similar about the two series? What is different? 1 1+x²' B. Looking at the series, which function do you predict will be greater over the interval (–1,1)? 1 1+x² and y = 1 — sin(x²). the radius of convergence is R = C. Are these functions even or odd? E. For y = 1 - sin(x²), the radius of convergence is R - (type inf if the radius of convergence is infinite to get ∞). (type inf if the radius of convergence is infinite to get ∞). Looking at the relative sizes of the successive terms in your series, note how the radii of convergence you found make sense.