Limit as X-> infinity of cos(x)

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SUMMARY

The limit of cos(x) as x approaches infinity is undefined. This conclusion is based on the oscillatory nature of the cosine function, which continuously fluctuates between -1 and 1 without settling at any particular value. Therefore, the limit does not converge to a specific number, confirming that it is indeed undefined.

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limit as X--> infinity of cos(x)

Homework Statement


Find the limit.
[tex]\stackrel{lim}{x\rightarrow\infty}cos(x)[/tex]


The Attempt at a Solution


As best as I can tell by putting larger and larger numbers in my calculator, there is no limit, as cos(x) just oscillates between (-1,1). So is the limit undefined, or is it 1?
 
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Your first thought is correct. It is undefined.
 

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