# How do you graph #r=2+4costheta# on a graphing utility?

See the limacon details and graph.

0<= r = 2 + 4 cos theta in [ 2 - 4, 2 + 4 ]#

anticlockwise measurement..

Multiply both sides by r and use

Now, the Cartesian form for Socratic graphic utility is obtained.

graph is immediate.

graph{ x^2 + y^2 - 2sqrt ( x^2 + y^2 ) - 4x=0 [ - 6 10 -4 4 ]}

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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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