I think it must be 1 converge
because the term that I circled it equal to zero !
I'm I right ?
Here is the graph.
Why does what you circled =0 ??
What does diverge and converge mean?
Thinking about what they 'may' mean this doesn't really do either does it?
I know I am out of my depth here.
I guess I am hoping someone will teach me something that is easy to learn. (Well one can dream) :)
Like Melody, I'm on shaky ground here....so.....you might have to take this with a grain of salt....
By the Integral Test, the function in the integrand must be eventually positive and decreasing on the interval of interest - in this case, 0 to ∞.
Here's the graph of y = cos(x)*e^(-sin(x))
Note that this function is not eventually positive and decreasing on the interval (it is periodic).....thus.....the integral diverges
That's my two cents worth.....
Alan??? heureka???....to the rescue???