Approximate e0.12 using Taylor Polynomials with n = 3.

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A: The solution is given below:

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A: limx→0ex-(1+x)x2

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Q: Find the third order Taylor polynomials for the following functions. h(x) = ln(x) for x near 1.

A: Formula:

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Q: Use the fourth Maclaurin polynomial for f(x) = e" to estimate e0.5. Round your answer to four…

A: The Maclaurin series of ex is: ex=1+x+x22!+x33!+x44!+...

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Q: Approximate the given quantity using Taylor polynomials with n=3 e^0.12

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Q: Approximate v7.9 with a Taylor polynomial of degree 3 centered at x = 9.

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