Sir can i get your all recorded lecture ❤

Well explained, thank you for doing it in English

Thankyou sir

Perfect explanation sir in class I didn't get many concepts

great job sir🎉

this is so clear, thanks so much!

Mind blowing concept on entire KZbin on Riemann Integral

Mind blowing approach Sir. Salute to you Sir.

His videos are waking up Mr West ❤🙏🏿🔥

His videos are waking up Mr West ❤🙏🏿🔥

Very understandable, i have always search for English lecture and finally found u,🥺thank u much SIR.

One of the best, clear cut explaination, each step is crystal clear Thank you sir 🎉

Very very great explanation sir U r just a unique personality on KZbin

Wow.....Sir you clear my doubt fully.I am struggling with this question for so many time.Thanks a lot SIr

Thank you sir so much you help me a lot .

Sir why do we take limit of upper darboux sum to find infimum of it

Excellent

thank you sir

Assalamualaikum Sir ap thoda Urdu main bhi is ki vezahat Karin shukriya main aapko Islam qabool karna ki bhi dawat deta hon taqa ap is dunya aur aakherat main kamyab hon shukriya

Hat's off 🌟

educative Thanks Sir

Very nice super sir

thanx😃

Sir

What does it mean <,> ?

great sir G😁😁😁🙏

Very Very Thankyou sir 🫂

At 11: 40 . Is ε very small real number here?

Is upper bound doesn't need to be in the set? Like if I consider S={1,2,3.....60} . Here 60 is the upper bound. So any number greater than 60 is also an upper bound as per the point. Is it right? Also you said number at 9:47. Is it real number or rational number or something else like complex number?

I don't understand that , because I want to know what is infimum and supremum of upper sum and lower sum respectively ? Also, I want to know what is darboux theorem in reiman integral ?

you are great sir

Please continue uploading video sir

Thank you sir

This was so helpful Thank you sir Love from bihar ❤️

Sir pls continue the classes on group theory........

Tq so much sir......

Tq so much sir ........ helped me lot......

Excellent explanation sir finally i understood this topic

Thank you sir......

What are a and b in [ a, b ]

I think there are no monotonically increasing sequences are bounded but monotonically increasing and decreasing sequence are bounded.

Could you please provide examples for monotonically increasing sequence sequence and bounded other than <1, 1 , 1, 1, 1,1,1,1,1,.....> such examples

Is there any theorem that shows the relation between the convergence of a sequence and series? Similarly, relation between the divergence of a series and divergence of a sequence. I think there is no such relation right because < 1/n > sequence converges and Σ 1/n diverges. But, in the video you said monotonically increasing sequence is bounded but <Sn> is not a sequence it is a series. * If it is true then for p= 1 the power series is bounded above but monotonically increasing and hence it will also converges.

When I take power series for p=1 and I added up to n=10. I got the summation as 2.8289682539682 and when I added up to n= 9, I got 2.8289682539682111111 * From the above observation, I increased the n values above 10 and found the summation. * I observed that as the n value increases for the power p=1, the summation cannot cross the 2.9 value and hence it is bounded above. * To represent the infinite series what we should take on the x-axis? Should we take partial sums i.e a1,a2, a3.... and on the y-axis we should take real numbers right. Please verify whether I am right or wrong

How u suffix n / u suffix n+1 is < l from where it is determined. The limit of u suffix n / u suffix n+1 is less than l right. I am asking how u suffix n / u suffix n+1 is < l.

Where is the 6th form

At 11:5 How u suffix n converges without knowing the u suffix n value to use it comparison test.

For 7:12 *. if we compare 1 and 2 with 1000000000 ( large number) 1 and 2 looks like they are very very small but 1≠ 2 ( 1 is never equal to 2) * Similarly Ɛ is very very small and Ɛ/2 is also very very small positive real number but Ɛ≠Ɛ/2 ( Ɛ is not equal to Ɛ/2 for limit of a sequence) * Hence, for given Ɛ >0 | a suffix n+p -a suffix n | < 2Ɛ

Sir , what are a and b in open interval are they real numbers or integers