How do you evaluate the limit #lim(x^3+2x^2-4x-8)/(x^2-4)dx# as #x->0#?
Since the function is not undefined or indeterminate for x = 0 we can evaluate the limit by substitution.
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To evaluate the limit lim(x^3+2x^2-4x-8)/(x^2-4)dx as x approaches 0, we can substitute the value of x into the expression. Plugging in x=0, we get (0^3+2(0^2)-4(0)-8)/(0^2-4). Simplifying this expression, we have (-8)/(-4), which equals 2. Therefore, the limit of the given expression as x approaches 0 is 2.
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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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