(a) Find the Maclaurin polynomial p2 for V1- x and express the error with Landau's big O notation. (b) Use the result of part (a) to show that 2/1 – x +x - 2 = L + O(x) x2 as x → 0, where the constant L is to be determined. That is, find L.

Trigonometry (MindTap Course List)
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Chapter4: Complex Numbers
Section4.2: Complex Solutions Of Equations
Problem 7ECP: Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.
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(a) Find the Maclaurin polynomial p2 for V1– x and express the error with Landau's big O notation.
(b) Use the result of part (a) to show that
2/1– x + x – 2
= L + O(x)
x2
as x → 0, where the constant L is to be determined. That is, find L.
Transcribed Image Text:(a) Find the Maclaurin polynomial p2 for V1– x and express the error with Landau's big O notation. (b) Use the result of part (a) to show that 2/1– x + x – 2 = L + O(x) x2 as x → 0, where the constant L is to be determined. That is, find L.
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