Limit of a function: When the value of a variable x Is brought closer and closer to a number ‘a’, the value of function f(x) approaches closer and closer to a definite number ‘l’, then we can say that as x tends to ‘a’ f(x) tends to ‘l’ that is x → a, f(x) → 1. This definite number ‘l’ is called limit of a function f(x). Symbolically it can be written as follows:
\(\lim\limits_{x\to a}\,f(x)=l\)
‘l’ is the limit of f(x). Hence f(x) ≠ l.
