Final Answer
indeterminate
Step-by-step Solution
Specify the solving method
1
Evaluate the limit $\lim_{x\to a}\left(\frac{\sqrt{b^2-x}-\sqrt{b^2-a}}{x-a}\right)$ by replacing all occurrences of $x$ by $a$
$\frac{\sqrt{b^2-a}-\sqrt{b^2-a}}{a-a}$
2
Cancel like terms $\sqrt{b^2-a}$ and $-\sqrt{b^2-a}$
$\frac{0}{a-a}$
3
Cancel like terms $a$ and $-a$
$\frac{0}{0}$
4
$\frac{0}{0}$ represents an indeterminate form
indeterminate
Final Answer
indeterminate