Evaluate items a, b, c, and d using the given tables of values. Then, answer the...
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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. 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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g In item c it is observable that the closer is x to 2 the closer is fx to 10 and in item e it is o... View the full answer
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