Calculate this sum :
Edit: The off-topic discussion regarding the value of questions like this one can be found here: http://www.mathhelpforum.com/math-he...t-century.html. Any further discussion of this nature should be continued at that thread.
Let us consider the equation
there are infinite solutions of this equation
in the domain , the solutions are
The above two equations are identical. Every value of that satisfies equation 1 satisfies equation 2. If is a solution of equation 1, the is a root of the second equation.Equation1:
For above solutions of
the last three of the above six are just the repetition of the first three. So the roots of Equation 2 can be
Hence, we can say that are the three roots of equation 2.
Multipying equation 2 by
the question of this thread is