hoaisky0 hoaisky0
  • 25-10-2021
  • Mathematics
contestada

lim┬(x→1)⁡〖(1-√x)/(x^2-1)〗

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lynnkc2000 lynnkc2000
  • 25-10-2021

Answer:

- 1/4

Step-by-step explanation:

[tex]\frac{1-\sqrt{x} }{x^{2}-1 } = \frac{(1-\sqrt{x})*(1+\sqrt{x} ) }{(x+1)(x-1)(1+\sqrt{x} )} \\= \frac{1-x}{-(1-x)(x+1)(1+\sqrt{x} )} \\= - \frac{1}{(x+1)(1+\sqrt{x} )} \\ \lim_{->1} - \frac{1}{(x+1)(1+\sqrt{x} )} \\ = -\frac{1}{(1+1)(1+\sqrt{1}) } = - 1/4[/tex]

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ruthielandauz ruthielandauz
  • 25-10-2021
Wow very good answer
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