1.Using definition,prove that f(x)=cosx is continuous.
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Originally Posted by roshanhero 1.Using definition,prove that f(x)=cosx is continuous. What would using the definition achieve.
It's pretty obvious from definition of cosine as the horizontal distance made from the unit circle that is continuous for all possible angles ...
I want to prove it from the formal definition as well.
Then if you want to prove it then do it.
I'll do it for you because I want to do it.
It's easy to prove that for each in particular put and we get this useful inequality As for the sake of the problem given then for we have hence
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