$\backslash$table$[[5,5,$correct$],[0\mathrm{.}417029,\frac{4}{\sqrt[\phantom{2}]{23}\sqrt[\phantom{2}]{23}},$incorrect$],[0\mathrm{.}41702882811415,\frac{2}{\sqrt[\phantom{2}]{23}},$correct$]]$

At least one of the answers above is NOT correct.

$(1$ point$)$ If $f(x)=\sqrt[\phantom{2}]{34x},$ find $f^{\text{'}}(5),$ using the definition of derivative. $f^{\text{'}}(5)$ is the limit as $x$ of the expression

The value of this limit is