What is meaning of limit of function?

Answer 1

Finding a limit is the process of allowing a variable to 'approach', or get very close to some numerical value and finding what effect this has on the function.

Ex: f(x) = (x2 -4)/(x-2)

if you attempt to find the value of the function when x =2, you will be attempting to divide by zero, which is undefined.

But find the limit and as x-->2 , f(x) --> 4

you can use x = 1.9 then x = 1.99, then x = 1.999 (approaching 2)

and f(1.9) = 3.9, f(1.99)=3.99, f(1.999) = 3.999

So you can see that the function is getting closer to 4