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f-derivable-in-0-and-f-0-0-determined-lim-n-k-0-n-f-k-n-2-help-me-




Question Number 134928 by Abdoulaye last updated on 08/Mar/21
  f derivable in 0 and f (0)=0  determined lim_(n→+∞) Σ_(k=0) ^n f((k/n^2 ))    help me
$$ \\ $$$$\mathrm{f}\:\mathrm{derivable}\:\mathrm{in}\:\mathrm{0}\:\mathrm{and}\:\mathrm{f}\:\left(\mathrm{0}\right)=\mathrm{0} \\ $$$${determined}\:\underset{{n}\rightarrow+\infty} {\mathrm{lim}}\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}{f}\left(\frac{{k}}{{n}^{\mathrm{2}} }\right) \\ $$$$ \\ $$$${help}\:{me} \\ $$

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