## anonymous 3 years ago Can someone please explain all the steps to this problem: http://imageshack.us/scaled/landing/28/lateximg.png

1. anonymous

the first step is plugging 'a' into $\frac{ f(x) -f(a) }{x-a}$

2. anonymous

the second step is using the given: f(x) = 1/x

3. anonymous

the third steps is finding a CD in the numerator and then simplifying

4. anonymous

the last step is taking the limit x->2

5. anonymous

Can you show me how to find a common denominator...That is the step that I am really lost at

6. anonymous

$\frac{ 1 }{x } *\frac{ 2 }{2}- \frac{ 1 }{2} *\frac{ x }{x} = \frac{ 2-x }{ 2x }$

7. anonymous

thank u!

8. anonymous

sure