SOLUTION: Evaluate limit (as x approaches negative infinity) (10x-3)/(sqrt(5x^2-x^3-7x+1))

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Question 1200138: Evaluate limit (as x approaches negative infinity) (10x-3)/(sqrt(5x^2-x^3-7x+1))
Answer by ikleyn(52898)   (Show Source): You can put this solution on YOUR website!
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Evaluate limit (as x approaches negative infinity) (10x-3)/(sqrt(5x^2-x^3-7x+1))
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As x approaches negative infinity, the numerator behaves as  -10*|x|,


while the denominator behaves as   = .




So the rational function behaves as   = ,


i.e. tends to zero, as x approaches minus infinity.


ANSWER.  The limit is 0 (zero).

Solved.


Vertical lines in my post denote absolute value (a standard designation).



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