Question: 1. Use the graph below to answer the following questions. 8 7 6 5 4 3 -3 -2 -1 2 5 6 7 8 9

8 9 X -1 -2 Calculus: Limits and Differentiability -3 a. lim

(x) d. lim f (x) x-1 x-1x2 +x6 2. Use the table

below to make a conjecture about the value of lim x>2 x2

1. Use the graph below to answer the following questions. 8 7 6 5 4 3 -3 -2 -1 2 5 6 7 8 9 X -1 -2 Calculus: Limits and Differentiability -3 a. lim f (x) C. lim f (x) x- -2 x-1+ b. lim f (x) d. lim f (x) x-1 x-1x2 +x6 2. Use the table below to make a conjecture about the value of lim x>2 x2 2 _ What is the value of lim x H 6 x)2 xZ ? 5. How is lim f(x) different from f(1)? x-1 6. Explain what is means to say that lim f (x) = 5 and lim f(x) = -2. x-1 x-1+

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4. What specific changes in the environment have taken place in relation to the information we have collected?

2. The purpose of the acquisition of the information.

1. What is the meaning of the information we are collecting?