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show that function cos is continous on real number

MIT 18.01 Single Variable Calculus (OCW)
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I am not sure that this is a proof. But for the function cos(x) to be "continuous on the real" means that for any real number you put into the function it produces a real number. On the spreadsheet, you can see that cos(x) for REAL numbers produces... real numbers, for Complex numbers, is undefined :)

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