1. Find the 3rd-degree Taylor polynomial for f(x) = 1/(2+x) at a = 1.
2. Comparison Test let .
3. Comparison Limit let .
4. Comparison Test .
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1. Find the 3rd-degree Taylor polynomial for at
Solution. We use an expansion , when |x|<1,
So, substituting x by -(x-1)/3, we get
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