How do you use the Intermediate Value Theorem to show that the polynomial function # 2x^3 + x^2 +2# has a root in the interval [-2, -1]?
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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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- Given the function # f(x) = 9/x^3#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1,3] and find the c?
- What are the local extrema of #f(x)= 1/sqrt(x^2+e^x)-xe^x#?
- Is #f(x)=3x^3-6x-7 # increasing or decreasing at #x=0 #?
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