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

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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: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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