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Section 4.3 Additional Problems
Problem 4.3.1.
Use Taylor’s formula to find the Taylor series of the given function expanded about the given point \(a\text{.}\)
(a)
\(f(x)=\ln\left(1+x\right)\text{,}\) \(a=0\)
(b)
\(f(x)=e^x\text{,}\) \(a=-1\)
(c)
\(f(x)=x^3+x^2+x+1\text{,}\) \(a=0\)
(d)
\(f(x)=x^3+x^2+x+1\text{,}\) \(a=1\)
