Find the Taylor series for f(x)= 1/2x at x=2 and determine its interval of convergence.
Added by Patricia J.
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The Taylor series for a function f(x) centered at x = a is given by: $$ f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(a)}{n!}(x-a)^n $$ In our case, f(x) = 1/(2x) and a = 2. We need to find the derivatives of f(x) and evaluate them at x = 2. Show more…
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