Sunday, 6 January 2013

limits - Use of L'hopital's rule



Define f:NR by f(n)=sin(nπ4)n.



May I know if we can use L'hopital's rule to evaluate lim ? If not, how can we evaluate the limit without the use of series?



Thank you.


Answer



There is no such ting as \lim_{n\to0}f(n) if f is only defined on \mathbb N.



No comments:

Post a Comment

real analysis - How to find lim_{hrightarrow 0}frac{sin(ha)}{h}

How to find \lim_{h\rightarrow 0}\frac{\sin(ha)}{h} without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...