Determine following limit: lim x->2 x/(x+2)?

dont know how to go about this one, i know the answer is 1/2 but im not too sure how to go get this answer, could someone show full working, cheers!

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- Mar 31st 2011, 08:20 PMhellomoto89Determine following limit: lim x->2 x/(x+2)?
Determine following limit: lim x->2 x/(x+2)?

dont know how to go about this one, i know the answer is 1/2 but im not too sure how to go get this answer, could someone show full working, cheers! - Mar 31st 2011, 08:31 PMTheChaz
- Apr 1st 2011, 07:08 AMHallsofIvy
There are four basic "rules" for limits:

1) If and then

2) If and then

3) If and , and , then .

4) If for all x**except**x= a, then .

Here, (3) applies.

It's when G= 0 that (3) does not apply, as TheChas said, and then you often can use (4).

You also, of course, need to know the "trivial" limits:

where C is a constant.

.