my name is Agapita and I have a question about this limit:

> 
> $\lim\_{n \to \infty} n^{\frac 12}-n^{\frac 34}$
> 
> 
> 

What I have done so far is:

> 
> $n^{\frac 12 - \frac 34}=n^{-\frac 14}=0$
> 
> 
> 

But the solutions say that this limit tends to $-\infty$, so...What am I doing wrong?

Thank you so much for your help,
If you don't understand something, please let me know, I'll try to be clearer