But given any number as your function is and on any , your function is . How could that limit exists?
Maybe, you need ... and L'Hôpital does the job.
I need the limit of x to infinity on the problem (cos(2/x))^(x^2) (the quantity cos of 2/x raised to the x squared). My gut told me it would be one, however the true answer is around .1353. How do you solve it?