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.

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