Real Analysis | Complete Part C Solution | CSIR NET July 2024 | Short Cut Tricks

[@mukeshchhikara1824]

Very informative lecture.please continue series.

[@aslicodes9736]

very helpful lecture, plz continue this series

[@kungumsraj3026]

Very good explanations sir...keep it up...thank you

[@yadavshivam1707]

Thank you sir,Keep continue this series ❤

[@rintumondal5658]

Sir please start the series 2011-2024 CSIR NET PYQ of statistics TOPIC WISE only.
It's a humble request.
We can't find any source of statistics PYQ. We are really looking for it.
It's our request to start the series as soon as possible. Your channel is of the favourite and much helpful for us who can't afford any coaching. Please sir . 😢

[@shalinidwivedi5261]

Sir plz grp n ring ka solutions bhu kra dijiye

[@charitylyngdoh8912]

Thanks alot Sir

[@mubashirrazaq2838]

Thankyou sir g
May Allah bless you ❤

[@mufaafsal]

at 15:02 option d is not true by taking an=1/n

[@sowmicreations2918]

Thankyou Sir

[@sarikakabira8075]

Thank u so much sir 😊

[@septborn]

Sir, In question no. Id 704070, if we take f(x) = e^x for the 2nd option then the surjectivity does not hold anymore.

[@namratapatil1813]

Thanks 🙏

[@shyamsundarchauhan1702]

Thank you sir

[@sunnyarya1499]

Nice sir

[@eyarabbulislam5491]

Sir, not differentiable implies not continuous???

[@amanrajput826]

No ,,
Not CTS imply not differentiable

[@RavinaChouhan-pc2ol]

Sir last question me aap ne kha hai ki function is not diff.it mean function is not continue.
Sir ye to wrong h .

[@RavinaChouhan-pc2ol]

False.
A function can be continuous but not differentiable. Differentiability implies continuity, but continuity does not necessarily imply differentiability.
- True: If a function is not continuous, then it is not differentiable.
- False: If a function is not differentiable, then it is not continuous.
In other words, lack of differentiability does not necessarily mean lack of continuity, but lack of continuity definitely means lack of differentiability.

[@DrHarishGarg]

Yes, .. Anyhow,it easy, change to polar coordinate and see clearly it is not continuous.

[@RavinaChouhan-pc2ol]

@@DrHarishGarg Thanks sir😊😊

[@septborn]

Sir,​@@DrHarishGarg In question no. Id 704070, if we take f(x) = e^x for the 2nd option then the surjectivity does not hold anymore.

[@ansgeorge1178]

Thank you sir

[@montymonty3145]

Thank you sir