Question

cum calculam lim((2radical(1-x)-a)/x) daca x tinde la 0?????

Answer 1

$\lim_{x\to \inft0} \frac{2 \sqrt{1-x}-a }{x} = \lim_{x \to \inft0} \frac{2( \sqrt{1-x} -1)}{x}$ =$\lim_{ \to \inft0} \frac{2( \sqrt{1-x}-1)( \sqrt{1-x}+1)}{x( \sqrt{1-x}+1)} = \lim_{x \to \inft0} \frac{2(1-x-1)}{{x[tex] \lim_{x\to \inft0} \frac{-2}{( \sqrt{1-x}+1)} =-1$}} = \lim_{x\to \inft0} \frac{-2x}{{{x( \sqrt{1-x}+1)}}}= [/tex] =
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