[tex] \lim_{x \to \ 1} \frac{x-1+ \sqrt{ x^{2}-1 } }{x-1} [/tex]Ecris ta question ici.... Pergunta de ideia dechaimaaelbahlo

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[tex] \lim_{x \to \ 1} \frac{x-1+ \sqrt{ x^{2}-1 } }{x-1} [/tex]Ecris ta question ici

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editions (x-1+√(x²-1))/(x-1)
=(x-1)/(x-1) +√((x+1)(x-1))/(√(x-1))²
=1 +√(x+1)/√(x-1)
√(x+1) tend vers√2
√(x-1) tend vers 0
donc √(x+1)/√(x-1) tend vers +infini
donc (x-1+√(x²-1))/(x-1) tend vers +infini quand x tend vers 1+

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chaimaaelbahlo Mercii :)

[tex] \lim_{ + \infty} \sqrt{ \frac{x}{x-1} } -x-1[/tex]

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[tex] \lim_{ + \infty} \sqrt{ \frac{x}{x-1} } -x-1[/tex]

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