Find the limit if it exists
1. As delta x approaches 0 limit from the left
((1/x+delta(x)-(1/x))/((delta(x))
2. This second limit is kind of confusing
As x approaches 3
where f(x)=
(x+2)/2 x < or equal to 3
12-2x/3 x>3
Would I just plug in 3+2/2=2.5?
This has the form of a derivative from first principles, where f(x) = ...... and so the answer is f'(x) = ......
The right hand limit is 12 - 2(3)/3 = .... and the left hand limit is (3 + 2)/2 = ....
If right and left hand limits are the same then the limit exists and is equal to .... If right and left hand limits are not the same then the limit does not exist.