CSIR NET June 2023 Mathematics | Real Analysis Solution | Q.Id 704064 | December 2023 by Sudip Sir

[@prerakpatel5808]

Nice sir kash pahelese aese teacher mile hote to koi doubt hu na raheta

[@rintumondal5658]

H.W: it's false as one one fail karega

[@Satvik_negi]

H.w. - false counter example - f: R-->N. g.i.f Restriction of f = N

[@_AniketSamurai]

Sir in a option d) Since all points are isolated points so can we say that restriction function will be continuous on this isolated points?.

[@SRajagopalrajagopal]

consider f : Z to Z^+ such that f (x)=x^2 g is a restriction function such that g : w to Z^+ defined as g(x)=x^2 g is 1-1 but f is not 1-1

[@avsbrothers]

2023 ka paper kis जगह पर मिलेगे sir

[@Mandeepkumar-lu8iy]

1/n means domain is not connected how discuss continuity left and right limit please reply

[@varun08sinha16]

Bro sequential criteria use kro

[@uvaish576]

Sir we can discard option a by ivp Let restriction function is continuous, then continuous function map compact set into compact set, but image of compact set is not compact then we can say option a is false?

[@Nainagour-l1h]

Home work sir ( lemma= let f:A tend to B be a bijection and c contain A then the restriction f|c: c tend to f(c) is also bijection

[@dollysingh7072]

False hoga ....onto possible hai agr periodic ho to

[@samranaaz8988]

home work- false

[@jaggul3249]

HW True

[@mukeshkumarkaziana2989]

H.W. true

[@zahidgeelani44]

False

[@Nainagour-l1h]

Sir ye true hoga

[@puremathcsir2021]

Home Work !?

[@Nainagour-l1h]

Sir ( we may define g:f(c) tend to c such that g( f(c))=c this is well defined due to bijection of f there fore gof|c=idc and f|cog=idf(c)