Write a matlab script called estimate

Write a matlab script called estimate_e

Assignment Help MATLAB Programming

Reference no: EM13690923

Problem: The number e can be estimated as an infinite series:

e = 1 +( 1/1) +(1/1?2)+(1/1?2?3)......

Write a MATLAB script called estimate_e where a while loop is used to obtain an estimate of e. Use appropriate logic to terminate the while loop when the relative change between estimates (tol) is less than 1×10^-6.

Then, make a plot of the residual between your estimate and the more accurate value from Matlab's built-in function (which can be obtained by calling exp(1)) versus the iteration number. Use the function semilogy to plot your results. Repeat for tol = 1×10^-9

Question: How does your actual accuracy compare to the relative tolerance you chose?

Can you provide the answer as soon as possible and use basic MATLAB concepts to make this program?

Reference no: EM13690923

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