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d) For the Gregory-Leibniz expression, compute the absolute value of the error (that is, abs (pi_gl(n)- math.pi)) for n = 1 to 500. Store these errors in a list (say, pi_gl_error), and repeat this for the other two series, storing the errors in new lists. Plot a graph with the errors pi_gl_error, pi_nik_error pi_wallis_error on the y-axis, against the range (1,500) on the x-axis. (You should plot all three lines on the same graph. Be sure to label axes and data. You should choose for yourself whether plot, loglog or semilogy gives the most meaningful plot.)

d) For the Gregory-Leibniz expression, compute the absolute value of the error (that is, abs (pi_gl(n)- math.pi)) for n = 1 to 500. Store these errors in a list (say, pi_gl_error), and repeat this for the other two series, storing the errors in new lists. Plot a graph with the errors pi_gl_error, pi_nik_error pi_wallis_error on the y-axis, against the range (1,500) on the x-axis. (You should plot all three lines on the same graph. Be sure to label axes and data. You should choose for yourself whether plot, loglog or semilogy gives the most meaningful plot.)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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(d) For the Gregory-Leibniz expression, compute the absolute value of the error (that is, abs (pi_gl (n)- math.pi)) for n = 1 to 500. Store these errors in a list (say, pi_gl_error), and repeat this for the other two series, storing the errors in new lists. Plot a graph with the errors pi_gl_error, pi_nik_error pi_wallis_error on the y-axis, against the range (1,500) on the x-axis. (You should plot all three lines on the same graph. Be sure to label axes and data. You should choose for yourself whether plot, loglog or semilogy gives the most meaningful plot.)
Transcribed Image Text:(d) For the Gregory-Leibniz expression, compute the absolute value of the error (that is, abs (pi_gl (n)- math.pi)) for n = 1 to 500. Store these errors in a list (say, pi_gl_error), and repeat this for the other two series, storing the errors in new lists. Plot a graph with the errors pi_gl_error, pi_nik_error pi_wallis_error on the y-axis, against the range (1,500) on the x-axis. (You should plot all three lines on the same graph. Be sure to label axes and data. You should choose for yourself whether plot, loglog or semilogy gives the most meaningful plot.)
(c) Compute the errors for both Euler expressions, as in part 1, again for n=1 to 500. Plot a graph showing the errors for both Euler expressions, together with the errors for the previous three approximations from part 1, on the same graph. Comment briefly on the convergence of the Euler methods.
Transcribed Image Text:(c) Compute the errors for both Euler expressions, as in part 1, again for n=1 to 500. Plot a graph showing the errors for both Euler expressions, together with the errors for the previous three approximations from part 1, on the same graph. Comment briefly on the convergence of the Euler methods.
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