SOLUTION: limit as x -> 3 (2sqrt(x+1)-4)/(2x^2-x-15)

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Question 1017903: limit as x -> 3
(2sqrt(x+1)-4)/(2x^2-x-15)

Found 2 solutions by Edwin McCravy, robertb:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


Multiply by the conjugate of the numerator or denominator
(whichever has the square root) over itself:



Use FOIL on the top:











Factor out common factor on top.
Factor quadratic in denominator.






















Edwin

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
You can also use L'Hopital's rule:
.
(The limit has the indeterminate form 0/0.)

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