Saturday, 13 December 2014

limit of log(x)(k+1)/x

lim



I used L'Hospital to get to \lim_{x\to \infty} \left(\frac{(k+1)(k)\log^{k-1}(x)}{x}\right)



But from there I don't understand how to get \lim_{x\to \infty} \left(\frac{(k+1)!}{x}\right)



Any help would be appreciated, thanks in advance.

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}...