What is the limit as x approaches infinity of #6cos(x)#?

Answer 1

#lim_(x->oo) 6cosx DNE#

As #x# approaches #oo#, the function #6cosx# alternates between -6 and 6, and never approaches a single value, thus the limit does not exist.
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Answer 2

The limit as x approaches infinity of 6cos(x) does not exist.

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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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