# 10.05 - [Hand out time-sheet 241 too Revised due-date for...

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[Hand out time-sheet; 241 too!] Revised due-date for assigment #5: 10/10 is a holiday! So it’s due 10/12. Don’t feel bad about making mistakes on the True/False questions! They’re designed to be tricky. Better to make these mistakes now (and thereby learn not to make them again) than to make these mistakes on the midterm! 13. “A function can have two different horizontal asymptotes.” ..?. . True. One example is f ( x ) = arctan x ; another example (of a trivial kind) is the Heaviside function. (If f ( x ) is a rational function of x , then f ( x ) can’t have two horizontal asymptotes, though you aren't responsible for knowing this.) For another example, see Figure 10 in Section 1.6. 14. “If f has domain [0, ) and no horizontal asymptote, then lim x →∞ f ( x ) = or lim x →∞ f ( x ) = – .” ..?. . False. Example: The function f ( x ) = x sin x . This function is said to diverge by oscillation .

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Another example is f ( x ) = sin x . 15. “If the line
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10.05 - [Hand out time-sheet 241 too Revised due-date for...

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