Iyengar
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 Jul27 revised Obtain a contradiction added something Jul21 comment find valuations These Articles A, B, C and D may be of some use to you. Jul21 comment What is the sum of sum of digits of $4444^{4444^{4444}}$? Have you seen this ? I think one can use the same thread of idea and extend it recursively to a higher notion. Jul19 comment Multiple-choice question regarding $\lim\limits_{n \to \infty} \sum\limits_{k = 1}^n \left| e^{2\pi ik/n} − e^{2\pi i(k−1)/n} \right|$ @Ranabir : See the difference between [previous question ]math.stackexchange.com/questions/172305/…) and this one. I noticed a drastic improvement. Good. Jul18 comment What are possibilities to disprove the Collatz Conjecture? Wont this be of some use for you ? Jul18 comment Find $\lim_{n \rightarrow \infty}\sqrt{n}(A_{n+1} − A_n)$ where $A_n = \frac{1}{n}(a_1 + a_2 + \cdots + a_n)$ Please don't feel depressed and discouraged with the down-votes. Always remember these words, " WHEN SOME BODY HURTS YOU, THINK THEM AS SAND PAPER, THEY MAY HURT YOU IN THE BEGINNING, BUT WILL MAKE YOU END UP SHINING " . Welcome to MATH.SE again, have a great future. My best wishes. Jul18 comment Find $\lim_{n \rightarrow \infty}\sqrt{n}(A_{n+1} − A_n)$ where $A_n = \frac{1}{n}(a_1 + a_2 + \cdots + a_n)$ Please post the question along with the effort you did. Ask your question precisely and then clearly state where you got an obstacle that is not letting you to proceed further. (6) You can also use the Chat rooms, and see if some user is free to assist you from elementary level, but I can't promise that you find such users. There may be , there may not be. (7) Try reposting your questions , slowly you get upvotes and slowly your position will improve, users start responding to you. Trust me, I was in a more worst state when I entered, there were many times where I got 9 down votes and closed Jul18 comment Find $\lim_{n \rightarrow \infty}\sqrt{n}(A_{n+1} − A_n)$ where $A_n = \frac{1}{n}(a_1 + a_2 + \cdots + a_n)$ (5) I remember the Kinley mineral water bottle caption, it says : " We give back more than we take " , that should be your attitude. You shouldn't solely depend upon users for help. You must understand that each user will be having his own work and they are doing a free service for us, sparing their valuable time. Users like @GerryMyerson , and others may have busy schedules, some work as the professors in the university and are packed between their schedules. They can't help you from the scratch. Please do work on it as far as possible, and if you are unable to figure it out .. Contd. Jul18 comment Find $\lim_{n \rightarrow \infty}\sqrt{n}(A_{n+1} − A_n)$ where $A_n = \frac{1}{n}(a_1 + a_2 + \cdots + a_n)$ Dear Ranbhir, I think you are new to this community, it takes some time for you to get adjusted with the rules of this community . Being a member of this forum, I take the privilege to explain you these things. (1). Please phrase your questions with proper wording and REQUEST the users for the help. (2) Adding a simple THANK YOU, at the end will make your question appear interesting. (3) Please remove the habit of posting it as a homework assignment, People won't help you then. (4) Use the tag , <> if you want to hear hints.. Contd. Jul18 comment Estimating Crime Construct some hypothesis and test the probability of the event . May be these things can be of some use for your hypothesis proving Jul18 suggested rejected edit on Find $\lim_{n \rightarrow \infty}\sqrt{n}(A_{n+1} − A_n)$ where $A_n = \frac{1}{n}(a_1 + a_2 + \cdots + a_n)$ Jul17 comment Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? @GerryMyerson : Oops, Sorry !!. I thought to "ERR IS HUMAN", and just have thought that you have made a typo. I learnt it by using $\dfrac{u_n}{u_n{n+1}}$ . Anyway with my experience I can no way give you any suggestion. My apologies. Jul17 revised Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? added more details. Jul17 comment Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? I think the first term should sound like $\dfrac{ n^n}{(n+1)^{n}}$ after simplification. Thank you. Can you edit it, or can I have a chance to edit it ? , I was seeking a prior permission . Jul17 revised Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? added more details. Jul17 suggested rejected edit on Solving the recurrence $t(n)=(t(n-1))^2 + 1$ Jul17 comment Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? Thank you @vanguard2k for your edit. Jul17 reviewed Approve Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? Jul17 comment Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge? @Ranabir : Did you really understand the step by step simplification, I missed working out many steps. So please do ask me. Jul17 answered Does $\sum\limits_{n=1}^\infty \frac{n^n}{3^n n!}$ converge?