I started revision today and im stuck on a limit question. I have the solution but I still have no clue of how to solve it. maybe another simple example may help.
Evaluate the limit of as
If then get
Therefore let then in limit
If let and
with is same answer as before
Thats the answer above. I think they use two solutions but both ways are right. But I don't get why you have to put in . Hopefully someone can help.
if h > 0
(a + h) with h-->0 means you approach the point 'a' from the right of 'a' (on the number line)
(a - h) with h-->0 means you approach the point 'a' from the left of 'a' (on the number line)
the corresponding limiting values of the function are the right hand and left hand limits respectively
the function has a limit as x-->a only if the left hand and right hand limits are equal.