can some one explain me how to find a simple(normal) limit with a example?

Answer 1

If it's really a simple limit, just plug the number that is the point where you're evaluating the function into the function and solve for the value.

For example,

lim (x / (x^2 + 1)) as x approaches 2

Just plug in 2:

2 / (2^2 + 1) = 2 / (4 + 1) = 2 / 5 = 0.4

So the limit as x approaches 2 is 0.4

Non-simple limits are trickier, but that's how to do a simple one.

Answer 2

First and the most important thing in limits , get the limit out of indeterminant form i.e. 0/0 inf./inf. etc
For eg
lim x--->2 (x^2-4)/(x-2)
If you directly substiute as x=2 , You will get 0/0 form so factorize and cancel x-2
you get x+2
So answer put x=2
=2+2 =4. Thanx.