- #1
Akitirija
- 17
- 0
$$\lim_{x\to 0} \frac{x}{\sqrt{4+x}-\sqrt{4-x}}=2$$
I plotted this equation into WolframAlpha, and it applies L'Hospital and yields, for the nominator:
$$\frac{dx}{dx}=2$$
I do not understand this. I have not learned how to use L'Hospital, but I know basic derivation rules, and I do not understand how this is correct. Any hints?
(The problem is 1.2-25 from Calculus: A Complete Course, 7th Edition by Robert A. Adams.)
I plotted this equation into WolframAlpha, and it applies L'Hospital and yields, for the nominator:
$$\frac{dx}{dx}=2$$
I do not understand this. I have not learned how to use L'Hospital, but I know basic derivation rules, and I do not understand how this is correct. Any hints?
(The problem is 1.2-25 from Calculus: A Complete Course, 7th Edition by Robert A. Adams.)