What's the limit as x approaches negative infinity for the function (x-2) / (x^2+1) ?

Question

Mathematics

Theodore Carney

24 May, 17:03

What's the limit as x approaches negative infinity for the function (x-2) / (x^2+1) ?

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Rachael Weber · Answer 1

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Step-by-step explanation:

The power of the denominator is greater than the power of the numerator. Therefore, the denominator grows much faster than the numerator does. A very small number divided by a very large number gets closer and closer to 0.