3.E: Questions Concerning Power Series (Exercises)
- Page ID
- 7932
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Q1
Use Taylor’s formula to find the Taylor series of the given function expanded about the given point \(a\).
- \(f(x) = \ln(1 + x),\; a = 0\)
- \(f(x) = e^x,\; a = -1\)
- \(f(x) = x^3 + x^2 + x + 1,\; a = 0\)
- \(f(x) = x^3 + x^2 + x + 1,\; a = 1\)