Evaluate a limit

It is quite simple.

$\displaystyle \lim _{ s\rightarrow \infty }{ \zeta \left( s \right) } =\lim _{ s\rightarrow \infty }{ \sum _{ n=1 }^{ \infty }{ \frac { 1 }{ { n }^{ s } } } }$

$\lim _{ s\rightarrow \infty }{ \zeta \left( s \right) } =\quad \lim _{ s\rightarrow \infty }{ \frac { 1 }{ { 1 }^{ s } } +\frac { 1 }{ { 2 }^{ s } } +\frac { 1 }{ { 3 }^{ s } } +... }$

$\lim _{ s\rightarrow \infty }{ \zeta \left( s \right) } =\quad 1+0+0+0+...=1$

Pretty ONE huh?