Réponses

2014-09-18T22:16:50+02:00
(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+