Need a clue on limits, have the answer need explanation

[surferbarney0729]

I have grasped everything in the first 2 segments of my limits chapter, but somehow I am missing out on this problem.

lim (f(x)-4)/(x-2) = 1...find lim
x->4 x->4 f(x)

I am missing something very fundamental and can not find an example explanation in my text. I have the answer which is 6, but have no idea the steps to get there.

Any help?

 

[LCKurtz]

I have grasped everything in the first 2 segments of my limits chapter, but somehow I am missing out on this problem.

lim (f(x)-4)/(x-2) = 1...find lim
x->4 x->4 f(x)

I am missing something very fundamental and can not find an example explanation in my text. I have the answer which is 6, but have no idea the steps to get there.

Any help?

$$lim_{x\rightarrow 4}\frac{f(x)-4}{x-2} = \frac{\lim_{x\rightarrow 4}(f(x))-4}{4-2}=1$$Does that help?