Final answer to the problem
indeterminate
Step-by-step Solution
Specify the solving method
1
Evaluate the limit $\lim_{t\to4}\left(\frac{t-4}{3\left(\sqrt{t}-2\right)}\right)$ by replacing all occurrences of $t$ by $4$
$\frac{4-4}{3\cdot \left(\sqrt{4}-2\right)}$
2
Subtract the values $4$ and $-4$
$\frac{0}{3\cdot \left(\sqrt{4}-2\right)}$
3
Calculate the power $\sqrt{4}$
$\frac{0}{3\cdot \left(2-2\right)}$
4
Subtract the values $2$ and $-2$
$\frac{0}{0}$
5
$\frac{0}{0}$ represents an indeterminate form
indeterminate
Final answer to the problem
indeterminate