# Math Help - Find Delta

1. ## Find Delta

Hi guys, I really need help.
I'm stucking at this question, any suggestion? Can you explain how to solve it step by step?

f(x)= 1/(x-1)
Find the largest δ such that if 0 < |x – 2| < δ then |f(x) – 1| < 0.01

2. ## Re: Find Delta

Originally Posted by dangbeau
Hi guys, I really need help.
I'm stucking at this question, any suggestion? Can you explain how to solve it step by step?
f(x)= 1/(x-1)
Find the largest δ such that if 0 < |x – 2| < δ then |f(x) – 1| < 0.01
This is not a tutorial service, therefore do not ask for a step-by-step solution.
You can pay a tutor for that. This is free.

Note that $|f(x)-1|=\left|\frac{x-2}{x-1}\right|$.

If $0<\delta<1~\&~|x-2|<\delta$ then $-\delta or $1-\delta or $\left|\frac{x-2}{x-1}\right|=\frac{|x-2|}{|x-1|}< \frac{\delta}{1-\delta}$

3. ## Re: Find Delta

Yay I got it now
you are my lifesaver, thank you so muchhhh