I need to find lim
For some reason mathematica just returns my input without evaluating it.
For what it's worth, \dfrac{\tan(10^{100})}{10^{100}}\approx -4\times10^{-101}, so the limit is probably 0. (...)
I'm guessing this has been asked before but I can't find it.
Answer
The limit does not exist: Since the tangent function has poles at every point of the form \left(n + \frac 1 2\right) \pi, the quantity
\frac{\tan x}{x}
is unbounded on every interval of length greater than \pi.
No comments:
Post a Comment