# What is special about a turning point?

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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.

- How do you find the relative extrema for #f(x) = (x^2 - 3x - 4)/(x-2)#?
- Given #p_1=(1,1), p_2=(6,3), p_3=(4,5)# and the straight #y = 1.5-(x-4)# what is the point #p=(x,y) # pertaining to the straight, minimizing #norm(p_1-p) + norm(p_2-p)+norm(p_3-p)#?
- Is #f(x)=(x-2)^2(x+1)# increasing or decreasing at #x=1#?
- How do you find the absolute extreme values of a function on an interval?
- How do you find the critical numbers for #y = (x^2-4)/(x^2-2x)# to determine the maximum and minimum?

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