## Introduction to Functions

In mathematics, the term function is very famous. If we look at the historical background the term, function was first used... Click here to read more

From basic to higher mathematics

In mathematics, the term function is very famous. If we look at the historical background the term, function was first used... Click here to read more

Let be a real valued function if the value of the function approaches a fixed number say as approaches to... Click here to read more

If is a real valued function, then can approaches from two sides, the left side of and the right side... Click here to read more

In this tutorial we give the statements of theorems on limits which will be useful in evaluating the limits. (1)... Click here to read more

In this tutorial we shall give idea of limit of a polynomial function of any degree which is useful to... Click here to read more

In this tutorial we shall drive of limit of a radical expression, these types of limits usually solve by using... Click here to read more

In this tutorial we shall discuss the limit of a piecewise function. Let us consider an example of limit of... Click here to read more

So far we have been discussed limits at some fixed numbers, in this section we shall be concerned with the... Click here to read more

So far we have been discussed limits at some fixed numbers; in this section we shall be concerned with the... Click here to read more

In this tutorial we shall discuss an example relating with limit of a function at positive infinity, i.e. . Let... Click here to read more

In this tutorial we shall discuss an example relating with limit of a function at negative infinity, i.e. . Let... Click here to read more

In this tutorial we shall discuss an example relating with limit at negative infinity with radial form of function, i.e.... Click here to read more

In this tutorial we shall discuss an example relating with limit at positive infinity with radial form of function, i.e.... Click here to read more

In this tutorial we shall discuss very important formula of limit that is Let us consider the relation We shall... Click here to read more

In this tutorial we shall discuss another very important formula of limit that is Let us consider the relation Let... Click here to read more

In this tutorial we shall discuss an example of limit which involves quadratic function, and to find the value of... Click here to read more

In this tutorial we shall discuss an example to evaluating limits involving radicals expression, in most of the cases if... Click here to read more

In this tutorial we shall discuss an example to evaluating limits involving cubic expression, in most of the cases if... Click here to read more

In this tutorial we shall discuss an example to evaluating limits involving function with nth power of variable, in most... Click here to read more

A moving physical object cannot vanish at some point and reappear someplace else to continue its motion. Thus, we perceive... Click here to read more

Let’s take an example to find the continuity of a function at any given point. Consider the function of the... Click here to read more

Let A and B be any two non–empty sets. Then a function ‘’ is a rule or law which associates... Click here to read more

Example: Find the range of the function . Solution: We have Put Thus, the domain is Now for the range,... Click here to read more

Constant Function: Let ‘A’ and ‘B’ be any two non–empty sets, then a function ‘’ from ‘A’ to ‘B’ is... Click here to read more

One – One Function: Let ‘A’ and ‘B’ be any two non–empty sets, then a function ‘’ from A to... Click here to read more

Meaning of the Phrase “Tend to Zero”: Suppose a variable ‘x’ assumes in succession a set of values. Clearly, ‘x’... Click here to read more

Example: If then evaluate the limit . Solution: We have