For the Maclaurin series expansion of sin(x) starting with the simplest term x^1/1!, add terms one at a time to estimate sin(π/4) up to 4 terms. After a new term is added compute true error. use 4 decimal accuracy fo sin(x) and 1 decimal place for error. Show your solutions and present your answer in table form. sin x ==- 1! x³ x³ 3! + 5! 17 X 7! + ....

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A: The given information is sinx2. Write the first 4 terms of the series approximation. Here we use…

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A: Maclaurin polynomial of degree 4 is P4x=f0+f'0x+f''02!x2+f'''03!x3+f404!x4.

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A: Step 1: Step 2: Step 3: Step 4:

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A: Taylor series of function f(x) around x=a is defined as:

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