- #1

greswd

- 764

- 20

- TL;DR Summary
- A function which is the infinitesimal limit of another function

I have the function: ##\sqrt{\left(\frac{x}{h}+1\right)^{2}+\left(\frac{y}{h}\right)^{2}}-\sqrt{\left(\frac{x}{h}\right)^{2}+\left(\frac{y}{h}\right)^{2}}##

I would like to find an analytical solution, the equivalent function, in the limit of

Additional info which might be useful, there's the function: ##\frac{1}{k}\left(\sqrt{\frac{\left(\left(1-k^{2}\right)\cdot y\right)^{2}}{x^{2}+\left(1-k^{2}\right)\cdot y^{2}}+\left(\frac{x}{\sqrt{x^{2}+\left(1-k^{2}\right)\cdot y^{2}}}+k\right)^{2}}-1\right)##

I believe that it also approaches the same solution function in the limit of

I would like to find an analytical solution, the equivalent function, in the limit of

**approaching zero.**__h__Additional info which might be useful, there's the function: ##\frac{1}{k}\left(\sqrt{\frac{\left(\left(1-k^{2}\right)\cdot y\right)^{2}}{x^{2}+\left(1-k^{2}\right)\cdot y^{2}}+\left(\frac{x}{\sqrt{x^{2}+\left(1-k^{2}\right)\cdot y^{2}}}+k\right)^{2}}-1\right)##

I believe that it also approaches the same solution function in the limit of

**approaching zero.**__k__
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