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

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

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

the last step is taking the limit x->2

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

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

thank u!

sure