Final Answer
indeterminate
Step-by-step Solution
Specify the solving method
1
Evaluate the limit $\lim_{x\to3}\left(\frac{\sqrt{2x+3}-x}{x-3}\right)$ by replacing all occurrences of $x$ by $3$
$\frac{\sqrt{2\cdot 3+3}-3}{3-3}$
2
Subtract the values $3$ and $-3$
$\frac{\sqrt{2\cdot 3+3}-3}{0}$
3
Multiply $2$ times $3$
$\frac{\sqrt{6+3}-3}{0}$
4
Add the values $6$ and $3$
$\frac{\sqrt{9}-3}{0}$
5
Calculate the power $\sqrt{9}$
$\frac{3-3}{0}$
6
Subtract the values $3$ and $-3$
$\frac{0}{0}$
7
$\frac{0}{0}$ represents an indeterminate form
indeterminate
Final Answer
indeterminate