If limit of #f(x)=2# and #g(x)=3# as #x->c#, what the limit of #f(x)/g(x)# as #x->c#?
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The limit of f(x)/g(x) as x approaches c is 2/3.
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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.
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 of #[x + sin(x)] / [2x – 5sin(x)]# as x approaches infinity?
- How do you find the limit of #(1)/(x-2)# as x approaches #2^+#?
- How do you find the limit of #(sin 2x)/(sin 3x)# as x approaches 0?
- How do you find the limit of #sintheta/(theta+tantheta)# as #theta->0#?
- How do you find the limit of #[root3(x) - 5] / (x-125)# as x approaches 125?

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