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skelet666 [1.2K]
3 years ago
12

Prove that lim x->0 cos(1/x) does not exist.

Mathematics
1 answer:
Annette [7]3 years ago
5 0
The limit of the function cos(1/x)  as x approaches zero can be determined by substituting x with zero to the expression given. IN this case, 1/0 is equal to infinity. Using the rule of cosines, the maximum value of the cosine expression is 1. Hence the limit should be 1.
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