Is the function y = xcosx infinite when x → + ∞? Why?
No. according to the definition of infinite function, we use the counter proof method. Suppose xcosx is infinite when x → + ∞. Then for any given positive number m (no matter how large), suppose that there is a positive number X. when X & gt; X, there is | xcosx & nbsp; | & gt; M & nbsp; & nbsp; *. But no matter what real number x takes, the * formula does not hold, because |
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