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lim-x-0-x-1-x-1-1-




Question Number 227956 by mathlove last updated on 05/Mar/26
lim_(x→0) ((!x−1)/( (√(x−1))−1))=?
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{!{x}−\mathrm{1}}{\:\sqrt{{x}−\mathrm{1}}−\mathrm{1}}=? \\ $$
Answered by Lara2440 last updated on 05/Mar/26
did you mean !(a) is subfcatorial??  and x approaching 0 ..but  (√(x−1))−1.....
$$\mathrm{did}\:\mathrm{you}\:\mathrm{mean}\:!\left({a}\right)\:\mathrm{is}\:\mathrm{subfcatorial}?? \\ $$$$\mathrm{and}\:{x}\:\mathrm{approaching}\:\mathrm{0}\:..\mathrm{but}\:\:\sqrt{{x}−\mathrm{1}}−\mathrm{1}….. \\ $$
Commented by mathlove last updated on 05/Mar/26
yes
$${yes} \\ $$

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