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Question: In view of the answers to Problems


In view of the answers to Problems 4 and 5, how do you explain the results of Problems 1 and 2?

Data from Problems 1:

Use your computer algebra system to evaluate f(x) for x = 1, 0.1, 0.01, 0.001, and 0.0001. Does it appear that f has a limit as x→ 0?

Data from Problems 2:

Use the CAS to graph f near x = 0. Does it appear that f has a limit as x→ 0?

Data from Problems 4:

Evaluate / by using the CAS to find sufficiently many terms in the Taylor series of the numerator and denominator. (Use the command taylor in Maple or Series in Mathematica.)

Data from Problems 5:

Use the limit command on your CAS to find / directly. (Most computer algebra systems use the method of Problem 4 to compute limits.)

1.99

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