What is the limit of # [x^2-5x+6]/ [x^3-8]# as x goes to infinity?
Therefore we may write :
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The limit of [x^2-5x+6]/ [x^3-8] as x goes to infinity is 0.
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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 #sqrt(4x^2-1) / x^2# as x approaches infinity?
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- How do you find the limit of #(3x-3) /( x^4 - 12x^3 + 36x^2)# as x approaches #3^+#?
- How do you prove that the function #f(x)=(x^2+7x+10)/(x+5) # is continuous everywhere but x=-5?

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