# Definition of Limit

Let be a real valued function if the value of the function approaches a fixed number say as approaches to a number say , we say that is the limit of function as approaches .

Mathematical, it can be written in the form

We read it as “limit of is as approaches to ”.

If a variable assumes in succession a series of values

Then is becoming smaller and smaller as increases and can be made as small as we please by taking sufficiently large. This unending decrease of is mathematically written as and is read as tends to zero or approaches to zero.