Final Answer
indeterminate
Step-by-step Solution
Specify the solving method
1
Evaluate the limit $\lim_{x\to4}\left(\frac{3-\sqrt{5+x}}{1-\sqrt{5-x}}\right)$ by replacing all occurrences of $x$ by $4$
$\frac{3-\sqrt{5+4}}{1-\sqrt{5-4}}$
2
Subtract the values $5$ and $-4$
$\frac{3-\sqrt{5+4}}{1-\sqrt{1}}$
3
Add the values $5$ and $4$
$\frac{3-\sqrt{9}}{1-\sqrt{1}}$
4
Calculate the power $\sqrt{1}$
$\frac{3-\sqrt{9}}{1-1}$
5
Subtract the values $1$ and $-1$
$\frac{3-\sqrt{9}}{0}$
6
Calculate the power $\sqrt{9}$
$\frac{3-1\cdot 3}{0}$
7
Multiply $-1$ times $3$
$\frac{3-3}{0}$
8
Subtract the values $3$ and $-3$
$\frac{0}{0}$
9
$\frac{0}{0}$ represents an indeterminate form
indeterminate
Final Answer
indeterminate