I'm trying to solve a problem with two variables, but the limit only addresses one. Wolfram Alpha simplifies it for h. Should I leave it simplified, or does x need to be a real number?
$$\lim_{h\to 0} \frac{\sqrt{3x+h}-\sqrt{3x}}{h}$$
[Math] Limit $\lim \limits_{h\to 0} \frac{\sqrt{3x+h}-\sqrt{3x}}{h}$
calculuslimits
Best Answer
If the limit is as $h$ approaches 0, then the $x$ is not changing, only $h$ is. So, $x$ is treated as if it were a constant in the calculation.