I went to many institutions and invested a lot of money 💵 but no one ☝️ taught like you …..and you taught so very well 👌 without any fees thank you so much dear sir ❤
@yogendravishwakarma55924 ай бұрын
Forget wrong things only take right and good things.
@sheemanitinsan72354 ай бұрын
@@yogendravishwakarma5592yes ♥️
@aakashbhuse31704 ай бұрын
Because he is recognised by the top Indian scientist in the current time and recently included in the top 2% scientists in the world !!
@sheemanitinsan72354 ай бұрын
@@aakashbhuse3170 absolutely 💯 right brother
@shubhamkumartiwari23795 ай бұрын
@Dr.Harish garg , at 1:16:37 csir net June 2019 . Sir In this problem options (c) and (d) are also correct.
@supriyarani26454 ай бұрын
Aisa content aaj tak nhi mila you tube pe... difficult topic hai isko banane ke liye bhot thankyou sir... kindly make topicwise aptitude pyq
@himanisingh37844 ай бұрын
Thankuuu so much sir.your teaching style is excellent.❤❤❤❤❤❤❤kash ap hmee phle
@steel6795 ай бұрын
very helpful sir `thankyou so much sir .
@pusplatasahu57385 ай бұрын
Superb session.....❤
@goutamjana12925 ай бұрын
Very helpful sir . Please upload more videos.
@BalajiPadhy-l8f5 ай бұрын
Really, you are teaching Real analysis, sir; thank you so much for sharing such videos.
@shaswata075 ай бұрын
Very helpful ❤
@Achukutty255 ай бұрын
My prayers and wishes are always for you sir 🙏
@rashmimalik97695 ай бұрын
Bahut jyada helpful h sir ji
@rnithyaraj94985 ай бұрын
Tku sir Your videos very use full sir
@ratanprajapatirp3529Ай бұрын
Thanks you sir aap great ho
@imkunalkapoor5 ай бұрын
Sir this is very helpful please upload next 2 lecture very soon please your trick very helpful in exam
@yogendravishwakarma55924 ай бұрын
Very nice lecture sir....
@riyagoel89394 ай бұрын
at 35:40 how did we have discarded the unbounded option(d) .Please provide a valid justification for the same
@dipeshvishwakarma35114 ай бұрын
1/1+e^x is cts, one one and bdd.
@pulkitgaming5401Ай бұрын
Take tan inverse x as example
@charitylyngdoh8912Ай бұрын
Thanks alot Sir 🙏
@mathematicslovers28885 ай бұрын
Very nice explanation, thanks sir
@rajkumarmanna38555 ай бұрын
Thank you so much sir ❤
@vandnanamdev44434 ай бұрын
Thank you for your efforts sir 🙏
@positivethoughts64195 ай бұрын
Really you are great sir ❤
@ankitadangi16555 ай бұрын
Very helpful 🎉🎉🎉
@anitakaushik-be8mo4 ай бұрын
@ dr harishgarg 41:00...a option kaise shi ho gya ...f(a ) bdd to a ko bdd kaise bol skte h ..inverse image thode hi bdd hoti h
@itsyourdev51435 ай бұрын
Thank you sir 🙏
@SanchitMehra-mf3rh5 ай бұрын
Thanks again ❤
@steel6795 ай бұрын
solid content sir
@siddhusiddharthan1615 ай бұрын
Thank you❤ sir
@ranachanda28395 ай бұрын
Thanks sir...❤
@SaifAbbas-c9pАй бұрын
thanks sir
@intelligencecorner6095 ай бұрын
You are genius sir
@preetyahlawat2464Ай бұрын
How to take f(x)=1, it is not one one ..at 35:01
@ThoihenbaKeishamMeetei5 ай бұрын
love you sir❤❤❤
@ChandanKumar-dn9lz5 ай бұрын
Thanks a lot sir jee .
@ASHISHKumar-zu7xo5 ай бұрын
Please explain in bilingual. Your lecture is very useful for me. Thanks sir
@RanjangamingYT747720 сағат бұрын
34:24 you have not taking example f(x)=1 because one one function bola ha😢
@PIMMATHS5 ай бұрын
Thanks sir ji
@professorragavan97835 ай бұрын
Thank you sir
@riyagoel89394 ай бұрын
37:10 how can we consider A=R in the (4) option sinceR is not compact
@newsteplaiddown94814 ай бұрын
A={1} it is compact , f^-1({1})=R it is not compact
@ikmathacademy574720 күн бұрын
Sir ode or pde bhi topicwise krwa do
@prabavathig4625 ай бұрын
Sir... Please... Which software you are using for screen recording this video ?
@Radharanilove-y5d4 ай бұрын
Sir please upload the vedios of linear algebra ... inner product spaces...and orthogonal...invariant subspcaes...
@DrHarishGarg4 ай бұрын
Linear algebra, inner product space etc already uploaded.. Explore at my youtube channel.
@Radharanilove-y5d4 ай бұрын
@@DrHarishGarg ok sir thanku
@anusuiya.4 ай бұрын
Thank you sir🙏 Sir at 43:04 image of close interval under countinous function is always closed. and range of tan ^-1x is -pi/2 to pi/2 . So how option 1 is incorrect
@Siyagupta524 ай бұрын
Take f(x)=e^x , A=R then f(A)=(0,oo) which is not closed
@shefalithakur45804 ай бұрын
@@Siyagupta52 ha to in this case you take A=R which is not closed But continuous function always map closed to closed Compact to compact Cauchy to cauchy So option 1 is true here
@Siyagupta524 ай бұрын
@@shefalithakur4580continuous function maps compact to compact Closed to closed is not true . As take the same example of e^x
@shefalithakur45804 ай бұрын
@@Siyagupta52 I got it dear thanks Continuous not necessarily map closed to closed
@sahanar52284 ай бұрын
Continuity maps Closed inteval to closed interval...but not closed set to closed ..ie ex R
@nerdhayafs625253 ай бұрын
Please complete this topic with uniform continuity and all
@DrHarishGarg3 ай бұрын
Already uploaded.... See at my youtube channel.
@BEGINNERMATHS5 ай бұрын
Thankyou sir
@Siyagupta524 ай бұрын
@50:14 option (d) is incorrect as compact set will map to compact set. Is this correct or not? Can someone confirm?
@anamfatima35245 ай бұрын
Please upload the next lecture,
@saikatmalla73905 ай бұрын
sir last request..... please upload a video on pyqs of ring theory.... 🙏🙏
@naveenpondara49033 ай бұрын
at 16:11 how opt d is correct?
@shreya22625 ай бұрын
Thankyou
@SunitaPooran-bi8gj5 ай бұрын
37:24 can anyone tell me..why sir had not taken compact subset A...why he has taken A=R
@Dearbhanusir5 ай бұрын
Yes A can't take R because A is compact
@vikasmehta80275 ай бұрын
Thanku sir❤
@professorragavan97835 ай бұрын
8:17 I have a doubt in selection of option c. We neglect [-1,1] because 0 belongs to it. Similarly option C also have 0. Then why we take as a correct answer?.... Please someone explain me 😢
@DrHarishGarg5 ай бұрын
The given option is set not interval because 1/n, n€N given .. So we need to find the function corresponding to this set and then check it continuity.... For example, for a and b option, function is given , but for c and d , function is not defined.... That's why, first defined the function and then check... Hope it help you.
@professorragavan97835 ай бұрын
Yes sir thank you ❤
@RanjangamingYT747720 сағат бұрын
31:37 b option me continuous booa ha but greatest integer function always discontinuous at countable numbe of points how b option correct 😂