How do you find #lim (3t^3+4)/(t^2+t-2)# as #t->1#?
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To find the limit of (3t^3+4)/(t^2+t-2) as t approaches 1, we substitute 1 into the expression. This gives us (3(1)^3+4)/(1^2+1-2). Simplifying further, we have (3+4)/(1+1-2), which becomes 7/0. Since division by zero is undefined, the limit 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.
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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