Grense
Lagt inn: 10/12-2017 22:33
For alle helltall [tex]n \geq 0[/tex], [tex]I_n=\int_{0}^\frac{\pi}{2}cos^{2n}xdx \ ; J_n=\int_{0}^{\frac{\pi}{2}}x^2cos^{2n}xdx[/tex]
Finn [tex]\lim_{n\rightarrow +\infty}2\sum_{k=1}^{n}\left ( \frac{J_{k-1}}{I_{k-1}}-\frac{J_k}{I_k} \right )[/tex]
Finn [tex]\lim_{n\rightarrow +\infty}2\sum_{k=1}^{n}\left ( \frac{J_{k-1}}{I_{k-1}}-\frac{J_k}{I_k} \right )[/tex]