Hi everyone!
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.
Question 1.
Evaluate the limit of as
Answer:
If then get
Therefore let then in limit
i.e.
If let and
Therefore
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.
Thank you
Dadon
similar to previous explanation
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.