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Repeated Roots & Derivatives
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Repeated Roots & Derivatives

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we know, real roots are governed by the intersection of any real function with the \(x\)-axis. But, how do we know weather this intersected function with the x-axis at point \(x_{0}\) has more than one root at that point. $$f(x)= (x…

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Why 1 is Not Prime Number ?
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Why 1 is Not Prime Number ?

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In General:  It is obvious that the term Prime are strictly related to numbers that can not have any other factors except for the number one and itself . For Instance:  The number \(14\) is not Prime since it has more than…

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Limit Point and Closure
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Limit Point and Closure

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Definition of Limit Point In Real analysis: Let \(S\) \(\in\) \(\mathbb{R}\) be any set, and let \(x\) \(\in\) \(\mathbb{R}\) then:  the point \(x\) is said to be limit point or a cluster point or an accumulation point or …

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Limit Point and Closure

Definition of Limit Point In Real analysis: Let \(S\) \(\in\) \(\mathbb{R}\) be any set, and let \(x\) \(\in\…

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