(a) We will see later that the polynomial 1 x2/2 is thelocal quadratic approximation for
Chapter 9, Problem 55(choose chapter or problem)
(a) We will see later that the polynomial \(1-x^{2} / 2\) is the "local quadratic" approximation for \(\cos x\) at \(x=0\) Make a conjecture about the convergence of the series
\(\sum_{k=1}^{\infty}\left[1-\cos \left(\frac{1}{k}\right)\right]\)
by considering this approximation.
(b) Try to confirm your conjecture using the limit comparison test.
Equation Transcription:
Text Transcription:
1-x^2/2
cos x
x=0
Sum over k=1 ^infty [1-cos(1/k)]
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