How do you determine the limit of #csc x# as x approaches #oo#?

Answer 1

#csc(x)# is a oscillating function which does not "settle down" to any particular value as #xrarroo#;
#lim_(xrarroo) csc(x)# is undefinable.

The graph of #csc(x)# looks like: graph{csc(x) [-4.75, 15.25, -4.2, 5.8]} Notice that this patern continues as #xrarroo#
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Answer 2

The limit of csc x as x approaches infinity is undefined.

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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.

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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