# What are the points of inflection of #f(x)=1/(1+x^2)#?

The roots of the second derivative, if any, could be found to determine the inflection points.

Thus, we have that

Thus, the points of inflection are

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The function ( f(x) = \frac{1}{1+x^2} ) has no points of inflection.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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