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How do you sketch one cycle of #y=cotx#?

Answer 1

Caroline Adams

Graph is inserted. See explanation.

The period ( cycle ) of cot x is #pi#.

In one cycle #x in (0, pi)#,

the ends #x= 0 and x = 0 and x = pi# are points if infinite

discontinuity. The midpoint is #(pi/2, 0)#

In the inserted graph, look for #x in (3.14, 0)#, for one cycle..

graph{cotx [-5, 5, -2.5, 2.5]}

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Answer from HIX Tutor

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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