114 4.5 Taylor’s Theorem Prove that f (x0 + h) − Pn(h) lim = 0. hn h →0 g(h) (Thus, we have f (x0 + h)= Pn(h)+ g(h), where g is a function that satisfes limh →0 = 0. This hn is called the Taylor expansion with Peano’s remainder.)
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