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Insane Sums !! (Divergent Sums Evaluation)
Insane Sums ! A) \(\sum_{n=0}^{\infty }(-1)^{n} = 1-1+1-1+1-... =\) \( \frac...
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In Real analysis: Let \(S\) \(\in\) \(\mathbb{R}\) be any set, and let \(x\) \(\in\) \(\mathbb{R}\) then: the point \(x\) is...
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Insane Sums !! (Divergent Sums Evaluation)
Insane Sums ! A) \(\sum_{n=0}^{\infty }(-1)^{n} = 1-1+1-1+1-... =\) \( \frac...
Limit Point & Closure
In Real analysis: Let \(S\) \(\in\) \(\mathbb{R}\) be any set, and let \(x\) \(\in\) \(\mathbb{R}\) then: the point \(x\) is...
Why 1 is Not Prime Number ?
In General: It is obvious that the term Prime are strictly related to numbers that can not have any other factors except for the numb...
Repeated Roots & Derivatives
we know, real roots are governed by the intersection of any real function with the \(x\)-axis. But, how do we know weather this intersect...
How Did Euler Derive His Complex Formula ?
Euler's formula: It is one of the most prominent formula which illustrates the relationship between the complex exponential ...
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