Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

the last step is taking the limit x->2

Answer 5

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

Answer 6

\[\frac{ 1 }{x } *\frac{ 2 }{2}- \frac{ 1 }{2} *\frac{ x }{x} = \frac{ 2-x }{ 2x }\]

Answer 7

thank u!

Answer 8

sure