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create the code in octave 4. In Calculus II, we learned that the Taylor series expansion of ek given by 72 73 el = 1+x+

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4. In Calculus II, we learned that the Taylor series expansion of ek given by 72 73 el = 1+x+ 2+ 3+. converges for all values of x, but it takes more and more terms as x gets larger. (a) Write a program to compute the Taylor series directly, term-by-term, for x = 50. Describe what happens as you carry the series out to a large number of terms b) Rewrite the program to evaluate the series in nested form and compute e De scribe what happens as you carry the series out to a large number of terms. (C) Why does rewriting the series in nested form and calculating in a different order matter

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