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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).