How Do You Continue Long Division with the Expression \((\sqrt{x} + \delta)/x\)?

[TKline007]

I am trying to solve the following problem:

$$(\sqrt{x} + \delta)/x$$

Using long division, I get:

$$\sqrt{x}$$

On top and I end up with

$$-\delta\sqrt{x}$$

On the bottom and am unsure how to proceed from there? I'm sorry I can't write out all my work out as I'm not sure how I could format it properly with LaTeX. Any advice would be appreciated.

 

[skeeter]

I am trying to solve the following problem:

$$(\sqrt{x} + \delta)/x$$

Using long division, I get:

$$\sqrt{x}$$

On top and I end up with

$$-\delta\sqrt{x}$$

On the bottom and am unsure how to proceed from there? I'm sorry I can't write out all my work out as I'm not sure how I could format it properly with LaTeX. Any advice would be appreciated.

what exactly is the problem you are working on that involves the quotient $$\frac{\sqrt{x} + \delta}{x}$$ ?

division (not long) yields $$\frac{1}{\sqrt{x}} + \frac{\delta}{x}$$, and offers nothing more simple than what you started with ...