limite cu integrale improrii
Posted: Sun Jan 25, 2009 5:50 pm
Sa se calculeze urmatoarele limite:
i) \( \lim_{n\to\infty}\int_0^{(2n+1)\frac{\pi}{2}}\sin t \log\frac{1}{t}dt \);
ii) \( \lim_{n\to\infty}\int_0^{n\pi}\cos t \log\frac{1}{t}dt \).
American Mathematical Monthly
i) \( \lim_{n\to\infty}\int_0^{(2n+1)\frac{\pi}{2}}\sin t \log\frac{1}{t}dt \);
ii) \( \lim_{n\to\infty}\int_0^{n\pi}\cos t \log\frac{1}{t}dt \).
American Mathematical Monthly