Yuri
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 Mar22 accepted Evaluating $\lim_{b\to\infty} \int_0^b \frac{\sin x}{x}\, dx= \frac{\pi}{2}$ Mar22 comment Evaluating $\lim_{b\to\infty} \int_0^b \frac{\sin x}{x}\, dx= \frac{\pi}{2}$ you are right...What was I thinking? Thank you. Mar22 comment Evaluating $\lim_{b\to\infty} \int_0^b \frac{\sin x}{x}\, dx= \frac{\pi}{2}$ Is it just me or is the integration going to be messy. Please what's the best approach here. Mar22 comment Evaluating $\lim_{b\to\infty} \int_0^b \frac{\sin x}{x}\, dx= \frac{\pi}{2}$ Yes I do. I think my browser is not displaying properly. Mar22 comment Evaluating $\lim_{b\to\infty} \int_0^b \frac{\sin x}{x}\, dx= \frac{\pi}{2}$ please how did you get the last equality of your first line? Mar22 awarded Scholar Mar22 asked Evaluating $\lim_{b\to\infty} \int_0^b \frac{\sin x}{x}\, dx= \frac{\pi}{2}$ Mar22 accepted proving an inequality involving limit superior and limit inferior Mar22 comment proving an inequality involving limit superior and limit inferior Thank you very very much. Mar22 asked proving an inequality involving limit superior and limit inferior Mar21 revised Question about Fatou's lemma added 28 characters in body Mar21 awarded Student Mar21 awarded Editor Mar21 revised Question about Fatou's lemma added 2 characters in body Mar21 asked Question about Fatou's lemma