Question: Evaluate items a, b, c, and d using the given tables of values. Then, answer the items that follow. a. lim x2 x-2 b.

Evaluate items a, b, c, and d using the given tables of values. Then, answer the items that follow. a. lim x2 x-2 b.

Evaluate items a, b, c, and d using the given tables of values. Then, answer the items that follow. a. lim x2 x-2 b. lim 3x x-2 2- 2+ 2- 2+ f(x) f(x) f(x) f(x) 1.5 2.5 1.5 2.5 1.9 2.1 1.9 2.1 1.99 2.01 1.99 2.01 1.999 2.001 1.999 2.001 1.9999 2.0001 1.9999 2.0001 c. lim (x2 + 3x) d. lim (x2 3x) X-2 x-2 2+ f(x) 2- 2- 2+ f(x) f(x) f(x) 1.5 2.5 1.5 2.5 1.9 2.1 1.9 2.1 1.99 2.01 1.99 2.01 1.999 2.001 1.999 2.001 1.9999 2.0001 1.9999 2.0001 e. lim x? + lim 3x X-2 x+2 f. lim x2 lim 3x = x-2 X-2 g. What do you observe about the limits in c and e? d and f? h. What inference about limit of sum/difference of functions can be made on this observation? After you respond, check if your inference is correct. Go to THE LIMIT LAWS > SUM/DIFFERENCE LAW. i. Using the same functions and following the same processing format, extend this exploration by replacing the operation with multiplication. Then, study PRODUCT LAW.

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