Just need the bottom last question answered Use the left-hand graph to determine
ID: 2877963 • Letter: J
Question
Just need the bottom last question answered Use the left-hand graph to determine the values of f(2), f'(2), g(2), and g'(2). Then, evaluate lim_x rightarrow2 f(x)/g(x). Use the middle graph to find p(2), p'(2), q(2), and q'(2). Then, determine the value of lim x rightarrow 2 p(x)/q(x). Use the right-hand graph to compute r(2), r'(2), s(2), s'(2). Explain why you cannot determine the exact value of lim x rightarrow 2 r(x)/s(x) without further information being provided, but that you can determine the sign of lim_x rightarrow 2 r(x)/s(x).In addition, state what the sign of the limit will be, with justification.Explanation / Answer
As we can see slearly from the graph
r(2) = 0
r'(2) = 0
s(2) = 0
s'(2) = 0
We cannot calculate the limit because , s(x) is not defined on the x = 2 . Since in the neighborhood of x = 2 , r(x) is always positive and s(x) is always negative , the sign of the limit will always be negative or less than zero
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