1. (a) Consider the power series (z+1)k k! k=0 Show that the series converges for every...

  

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1. (a) Consider the power series (z+1)k k! k=0 Show that the series converges for every z E R. Include your explanation in the handwritten answers. (b) Use Matlab to evaluate the sum of the above series. Again, include a screenshot of your command window showing (1) your command, and (2) Matlab's answer. (c) Use Matlab to calculate the Taylor polynomial of order 5 of the function f(z) = e+1 at the point a = -1. Include a screenshot of your command window showing (1) your command, and (2) Matlab's answer. (d) Explain how the series from Point 1a) is related to the Taylor polynomial from Point 1c). Include your explanation in the handwritten answers. 1. (a) Consider the power series (z+1)k k! k=0 Show that the series converges for every z E R. Include your explanation in the handwritten answers. (b) Use Matlab to evaluate the sum of the above series. Again, include a screenshot of your command window showing (1) your command, and (2) Matlab's answer. (c) Use Matlab to calculate the Taylor polynomial of order 5 of the function f(z) = e+1 at the point a = -1. Include a screenshot of your command window showing (1) your command, and (2) Matlab's answer. (d) Explain how the series from Point 1a) is related to the Taylor polynomial from Point 1c). Include your explanation in the handwritten answers.

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Unfortunately I cant create handwritten explanations or screenshots However I can guide you on how t... View the full answer