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Example of Continuous Function

Posted on August 01, 2014 at 12:10 PM


Let’s take an example to find the continuity of a function at any given point. Consider the function of the from We shall the check the of the given function at the point . To check the cont ...

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Continuity of a Function

Posted on August 01, 2014 at 12:09 PM


A physical object that is moving cannot immdeiately disappear at some point and again appear from some where else to continue its motion. Thus, we perceive the path of a moving object as a single, unbroken curve without gaps, jumps or holes. Such curves can be described as ...

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Limit of Functions Involving nth Power

Posted on July 25, 2014 at 04:31 PM


In this tutorial we shall discuss an example to evaluating limits involving function with nth power of variable, in most of the cases if limit involves nth power variable expression and to solve using binomial theorem. ...

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Limit by Factoring Cubic Expression

Posted on July 25, 2014 at 04:22 PM


In this tutorial we shall discuss an example to evaluating limits involving cubic expression, in most of the cases if limit involves cubic expression and we can factorize by using method of synthetic division. Let us consider an example which involve c ...

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Evaluating Limits Involving Radicals

Posted on July 24, 2014 at 03:30 AM


In this tutorial we shall discuss an example to evaluating limits involving radicals expression, in most of the cases if limit involves radical signs we shall use the method for limits is rationalization. Let us consider an example which involve quadr ...

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Limit Involving Quadratic Functions

Posted on July 24, 2014 at 03:28 AM


In this tutorial we shall discuss an example of limit which involves quadratic function, and to find the value of limit we shall factorize the quadratic first and then solve it for the existence of limit. Let us consider a ...

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Limit of (a^x-1)/x

Posted on July 22, 2014 at 11:31 AM


In this tutorial we shall discuss another very important formula of limit that is . Let us consider the relation Let , then , we have Consider the relation T ...

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Exponential Limit of (1+1/n)^n=e

Posted on July 22, 2014 at 11:29 AM


In this tutorial we shall discuss very important formula of limit that is . Let us consider the relation We shall prove this formula with the help of binomial series expansion, we have ...

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Limits at Positive Infinity with Radicals

Posted on July 21, 2014 at 03:33 PM


In this tutorial we shall discuss an example relating with limit at positive infinity with radial form of function, i.e. . Let us consider an example By rationalizing, we have ...

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Limits at Negative Infinity with Radicals

Posted on July 21, 2014 at 03:32 PM


In this tutorial we shall discuss an example relating with limit at negative infinity with radial form of function, i.e. . Let us consider an example By rationalizing, we have ...

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