Evaluate items a and b using the given tables of values. Then, answer the items that...
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Evaluate items a and b using the given tables of values. Then, answer the items that follow. a. (lim x)? b. lim x? 2- 2+ 2- 2+ f(x) f(x) f(x) f(r) 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. How do you read the expression (lim x)?? What about lim x?? d. What do you obscrve about the limits in a and b? c. What inference about limit of power of a function can be made on this obscrvation? After you respond, check if your inference is correct. Go to THE LIMIT LAWS > POWER LAW. f. Using the same functions and following the same processing format, extend this exploration by replacing the power with any other integral values. Evaluate items a and b using the given tables of values. Then, answer the items that follow. a. (lim x)? b. lim x? 2- 2+ 2- 2+ f(x) f(x) f(x) f(r) 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. How do you read the expression (lim x)?? What about lim x?? d. What do you obscrve about the limits in a and b? c. What inference about limit of power of a function can be made on this obscrvation? After you respond, check if your inference is correct. Go to THE LIMIT LAWS > POWER LAW. f. Using the same functions and following the same processing format, extend this exploration by replacing the power with any other integral values.
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