SOLUTION: (√x^2-5x-6)/(x-3) (As x aproaches 6) The answer should be 0!

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Question 179460: (√x^2-5x-6)/(x-3)
(As x aproaches 6)
The answer should be 0!
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
lim%28x-%3E6%2Csqrt%28x%5E2-5x-6%29%2F%28x-3%29%29 Start with the given limit.


lim%28x-%3E6%2Csqrt%28%286%29%5E2-5%286%29-6%29%2F%286-3%29%29 Plug in x=6


lim%28x-%3E6%2Csqrt%2836-5%286%29-6%29%2F%286-3%29%29 Square 6 to get 36


lim%28x-%3E6%2Csqrt%2836-30-6%29%2F%286-3%29%29 Multiply


lim%28x-%3E6%2Csqrt%280%29%2F%283%29%29 Combine like terms.


lim%28x-%3E6%2C0%2F3%29 Take the square root of 0 to get 0


lim%28x-%3E6%2C0%29 Divide


0 Evaluate the limit. Note: lim%28x-%3Ea%2Cc%29=c where a and c are constants


So lim%28x-%3E6%2Csqrt%28x%5E2-5x-6%29%2F%28x-3%29%29=0

Answer by Edwin McCravy(6936) About Me  (Show Source):