# Circle A has a center at #(8 ,-1 )# and a radius of #3 #. Circle B has a center at #(-2 ,-2 )# and a radius of #7 #. Do the circles overlap? If not, what is the smallest distance between them?

No overlap. distance≈ 0.05

now: radius of A + radius of B = 3+7 = 10

thus : 10 < 10.05 so no overlap and distance between them is

10.05 -10 = 0.05

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The circles do overlap.

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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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