# At what points do the functions #y = x^2-x# and #y = sin pix# intersect?

These two equations intersect at the points

Let's start by looking at:

This can be taken into account as:

That is:

Thus, there are just two places where they intersect:

graph{(y-x^2+x)(y - sin(pix)) = 0 [-2.105, 2.895, -1.19, 1.31]}

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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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