General Mathematics

 The above is Jam 2021 poster. Exam will be likely to hold on 14 feb 2021. Online registration and application producer will start from 10 sept 2020. All details about the exam, eligibility of candidate for exam, exam dates etc., are provided in above poster.  The official website for Jam 2021 is under construction, still you can visit site. Here is link  http://jam.iisc.ac.in/   Must subscriber our blog for updates about different exams, Higher Mathematics Question answers of  different exams like, IIt-Jam, Csir Net, Gate etc. (subscribe button at top of page) Also see : Full solutions of IIt jam, Csir net problem here  Solved Math problems of IIT-JAM, CSIR NET, GATE

Question Press/click below hints, answer "buttons" for solution:   Do you really need hint? Give your 100% first! If still you have problem then check hint 2 Hint 1 "given that $\lim_{x \to +\infty} a_{n}= 0$. Hence by definition of limit of sequence we have, for given any $\epsilon >0$ there exists $K\in\mathbb{N}$ such that, $|a_n-0|<\epsilon$ i.e. given any $\epsilon >0$ there exists $K\in\mathbb{N}$ such that, $|a_n|<\epsilon$ "The question ask negation of above statement" Which is given by "there exists an $\epsilon>0$ such that for every $K\in\mathbb{N}$ there exists $n>K$ such that $|a_n|\geq\epsilon$ from this can you conclude the required answer ? Hint 2 By Hint2 we conclude that the answer is option (a) Can you discard the other options? yes! Find counterexample for discarding other options. Did you find any? ("I will not do spoon feeding" If You hav...

Solution of above question is given following YouTube video, "please use headphones for better audio quality"  thank you!