How to Prove a Sequence of Integrals is a Cauchy Sequence 

I just started studying Analysis. That was very clean sir.

Wow, You explain it so easy. This sequence showed up in my exam of analysis but I didn't how to prove it. So, Thanks.

Very nice! Thank you

Thanks 💜

Sir i did everything till the integral of 1/t^2 but i didn't drop the absolute value right away Instead i used the triangle inequality after integrating and got |-1/n - (-1/m)| = |1/n - 1/m|

Could you please make videos of exercises regarding Riemann's Integral...

3:00 How can you take the mod inside to cos? If F(n) > F(m), you need the mod outside to make it positive, right?

Hey thanks a lot for the vid its a neat example with integrals. I'm wondering if you would consider making videos explaining/using regulated functions/integrals which was used in my analysis class and the professor said he thinks its a neater way of defining integrals than the usual riemann formulation. Unfortunately i've had a hard time understanding the definitions/examples and there's very little content on youtube that covers it so I'm stuck. Thanks! en.wikipedia.org/wiki/Regulated_integral