If lim x->4 f(x)-5/x-2 =1, find

Question

lim x->4 f(x).

I know the answer is 7, I need help on solving it.

Thanks

Answer 1

well, just plug in x=4!

(f(4)-5)/(4-2) = 1
f(4)-5 = 2
f(4) = 7

In the absence of anything to indicate that f(x) is not continuous, I assume that

lim(x->4) f(x) = f(4)