Evaluate trig functions at infinity?

AStaunton
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is it meaningful to evaluate cos and sin at infinity? I ask in relation to Fourier integrals...

ie does cos(infinity) have a value
 
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The improper integral of sin(x) or cos(x) from zero to inf does not converge or diverge
so you can't evaluate it.
 
AStaunton said:
ie does cos(infinity) have a value

You tell me. What does the graph of cosine look like? Is cos(x) going to approach a certain number as x approaches infinity?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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