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f-x-1-2-x-lim-t-0-f-2x-t-f-2x-2t-2f-2x-t-t-




Question Number 83492 by jagoll last updated on 03/Mar/20
f(x)= (1/(2(√x)))  lim_(t→0)  ((f(2x−t)+f(2x−2t)−2f(2x+t))/t)
$$\mathrm{f}\left(\mathrm{x}\right)=\:\frac{\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{x}}} \\ $$$$\underset{\mathrm{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{f}\left(\mathrm{2x}−\mathrm{t}\right)+\mathrm{f}\left(\mathrm{2x}−\mathrm{2t}\right)−\mathrm{2f}\left(\mathrm{2x}+\mathrm{t}\right)}{\mathrm{t}} \\ $$

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