f-is-C-2-inside-R-and-a-R-find-lim-h-0-fa-h-2f-a-f-a-h-h-2-

Tinku Tara June 4, 2023 Limits 0 Comments

Question Number 31511 by abdo imad last updated on 09/Mar/18

f is C^2 inside R and a∈R find lim_(h→0) ((fa+h)−2f(a) +f(a−h))/h^2 )

$${f}\:{is}\:{C}^{\mathrm{2}} \:{inside}\:{R}\:{and}\:{a}\in{R}\:{find} \\ $$$${lim}_{{h}\rightarrow\mathrm{0}} \:\frac{\left.{fa}+{h}\right)−\mathrm{2}{f}\left({a}\right)\:+{f}\left({a}−{h}\right)}{{h}^{\mathrm{2}} } \\ $$

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