SOLUTION: find lim(x arrow infinity) under lim) x^2 -1/ x or state that the limit does not exist

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Question 222503: find lim(x arrow infinity) under lim) x^2 -1/ x or state that the limit does not exist
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
lim%28x-%3Einfinity%2C%28x%5E2-1%29%2Fx%29 Start with the given limit.


lim%28x-%3Einfinity%2C%28%28x%5E2%29%2Fx-1%2Fx%29%29 Break up the fraction


lim%28x-%3Einfinity%2C%28x-1%2Fx%29%29 Reduce


lim%28x-%3Einfinity%2Cx%29-lim%28x-%3Einfinity%2C1%2Fx%29 Break up the limit


infinity-lim%28x-%3Einfinity%2C1%2Fx%29 Evaluate the first limit.


infinity-0 Evaluate the second limit.


infinity Simplify


So lim%28x-%3Einfinity%2C%28x%5E2-1%29%2Fx%29=infinity