Understand the problem True or False? Let (H_1, H_2, H_3,H_4 ) be four hyperplanes in ( R^3 ). The maximum possible number of connected components of ( R^3 – H_1 cup H_2 cup H_3 cap H_4 ) is 14. Source of the problem TIFR GS 2017 Entrance Examination Paper Topic...

Understand the problem True or False? If ( f: Bbb R to Bbb R ) is differentiable and bijective then (f^{-1} ) is also differentiable. Source of the problem TIFR GS 2017 Entrance Examination Paper Topic Real Analysis Difficulty Level Easy Suggested Book Introduction to...

Understand the problem True or False? There exists a function ( f: Bbb R to Bbb R ) satisfying ( f(-1)=-1, f(1)=1 ) and (|f(x)-f(y)| leq |x-y|^{frac{3}{2}} forall x, y in Bbb R ) Source of the problem TIFR GS 2017 Entrance Examination paper Topic Real Analysis...

Understand the problem True or False? Suppose (f(x) ) is a continuosy differentiable function on ( Bbb R ) such that ( lim_{x to infty} f(x)= 1 ) and ( lim_{x to infty} f'(x)=b). Then (b=1 ). Source of the problem TIFR GS 2017 Entrance Examination Paper Topic...

Understand the problem True or False? Over the real line, ( lim_{xto infty} log(1+ sqrt{4+x} – sqrt{1+x)}= log 2 ). Source of the problem TIFR GS 2017 MATHEMATICS ENTRANCE EXAMINATION PAPER Topic Real analysis Difficulty Level easy Suggested Book S.K. Mapa and...

Understand the problem If ((1+a+b+c)(1+frac 1a+frac 1b+frac 1c)=16) then is it true that (a+b+c=3)? Source of the problem TIFR GS 2017, Part 1 Problem 2 Topic Inequality Difficulty Level Easy Suggested Book Introduction to Inequalities (New Mathematical Library) ...