Hey Maburo.
What did you get when you applied L'Hopitals rule? The x in the denominator should disappear leaving the derivative of the cot term.
Hi, I have been having troubles with one limit problem in particular:
Lim_{x->inf }cot(pi/4x)/x
Applying L'Hopital's rule only seems to make things worse. If anybody could help and show me what I should do to solve this limit, I would very much appreciate it. Thanks guys!
Applying L'Hopital's rule gives Lim_{x->infinity} (pi*csc^2(pi/4x))/(4x^2). This is again in an indeterminate form, and continuing to apply L'Hopital's rule will only further increase the degree of the 'x' variable in the denominator, plus make the limit quite ugly. I tried using a limit calculator which shows steps, but it tells me that the steps cannot be displayed.