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

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

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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.

- How do you find the limit #(x+5)(1/(2x)+1/(x+2))# as #x->0^+#?
- How do you determine the limit of #(x^2-2x)/(x^2-4x+4)# as x approaches 2-?
- How do you find the limit of #(x^2+x-6)/(x^2-9)# as #x->-3#?
- How do you find the limit of #(1/x-1/2)/(x-2)# as #x->2#?
- How do you find the limit #ln(x^2+1)/x# as #x->0#?

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