SOLUTION: Kindly help me solving it I tried my best but I couldn't lim {(x^2-5x+6)(x^2-3x+2)}/x^3-3x^2+4 x-->2

Question 1044612: Kindly help me solving it I tried my best but I couldn't
lim {(x^2-5x+6)(x^2-3x+2)}/x^3-3x^2+4
x-->2
Found 2 solutions by rothauserc, advanced_Learner:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
{(x^2-5x+6)(x^2-3x+2)}/x^3-3x^2+4 =
:
{(x-6)(x+1)(x-1)(x-2)}/(x+1)(x-2)^2 =
:
{(x-6)(x-1)} / (x-2)
:
There are two limits
:
*****************************************
limit as x--->2 from the right is -infinity
limit as x--->2 from the left is infinity
*****************************************
:
you can see this from the plot of {(x-6)(x-1)} / (x-2)
:
the curves are asymptotic to x = 2
:

:

Answer by advanced_Learner(501) (Show Source): You can put this solution on YOUR website!
is answer
/
x-->2
/
x-->2
cancel (x-2) from top and bottom and subsitute

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