Consider
$\qquad \underset{h\to 0}{\text{lim}}\dfrac{\sqrt[4]{h+x}-\sqrt[4]{x}}{\sqrt{h+x}-\sqrt{x}}$
Here is what I get when I evaluate it Mathematica:
When I calculate it by hand and in other applications, it results in
$\qquad \dfrac{1}{ 2 \sqrt[4]{x}}$
Syntax error in Mathematica?
Update
It is not that I do not know how to calculate the limit, I have easily done it by hand without derivatives and with the rule of L'hopital. I find it strange, that when writing it using one of the assistant palettes, it evaluated to Indeterminate
. I imagined that I had to put an extra condition.
That's why I thought maybe I needed a condition for x
, let's say x > 0
, but I didn't know how to write it.
This result threw me. Now, I did it again and it I got the correct result (maybe some variable in memory was bothering me).
x
to 0? $\endgroup$