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13 Nov 2019
Consider the functions y=e^(âx^2) and y=1âsin(x^2)
(1 point) Consider the functions y-e and y 1-sin(x2) A. write the Taylor expansions for the two functions about x-0. What is similar about the two the interval (-1,1)? series? What is diferent? Looking at the series, which function do you predict will e greater over 2:2 B. 1 -sin(x2) (Graph the functions to verify that your answer is correct!) B. Are these functions even or odd? o A. Even B. Odd C. Find the radii of convergence for your two series. For e the radius of convergence is For 1 - sin(x2), the radius of convergence is (Enter infinity if the radius of convergence is infinite.) 2:2 Looking at the relative sizes of the successive terms in your series, note how the radi of convergence you found make sense.
Consider the functions y=e^(âx^2) and y=1âsin(x^2)
(1 point) Consider the functions y-e and y 1-sin(x2) A. write the Taylor expansions for the two functions about x-0. What is similar about the two the interval (-1,1)? series? What is diferent? Looking at the series, which function do you predict will e greater over 2:2 B. 1 -sin(x2) (Graph the functions to verify that your answer is correct!) B. Are these functions even or odd? o A. Even B. Odd C. Find the radii of convergence for your two series. For e the radius of convergence is For 1 - sin(x2), the radius of convergence is (Enter infinity if the radius of convergence is infinite.) 2:2 Looking at the relative sizes of the successive terms in your series, note how the radi of convergence you found make sense.
Irving HeathcoteLv2
3 Jun 2019