Suppose f(x) is differentiable 2 times, can I still use Maclaurin polynomial approximations and write:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] f(x)=f(0)+f'(0)x+\frac {f''(0)x^2} {2!}+R_2(x) [/tex]

If yes why? (Lagrange and Cauchy reminder theorem are using in this case the 3'rd order derivative...)

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# Maclaurin approximations

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