# Abhra Abir Kundu

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bio website abhraabirk.wordpress.com location Bangalore, India age 21 member for 2 years, 1 month seen 58 mins ago profile views 527

I am currently an undergraduate Student of B.Math(Hons.) of Indian Statistical Institute,Bangalore.

 23 $xy=1 \implies$minimum $x+y=$? 19 Show that $2^n>1+n\sqrt{2^{n-1}}$ 17 Prove $1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\dots+\frac{1}{\sqrt{n}} > 2\:(\sqrt{n+1} − 1)$ 16 17! mod 13, How do I do this without a calculator 10 proving a sum of binomial coefficients

# 6,525 Reputation

 +10 Find a closed form of the series $\sum_{n=0}^{\infty} n^2x^n$ +10 sum of consecutive arithmetic progressions +10 Finding the critical point of $\int_0^1(f(t))^2dt$ subject to $\int_0^1f(t)dt=k$ +10 X random variable with exponential distribution, calc variance X

# 8 Questions

 3 Linear Independence of an infinite set . 3 $n|(n-1)!$ for all composite numbers $n>4,n\in \mathbb{N}$ 2 Monotonicity in an interval 1 Funny Proof of $2=1$ [duplicate] 1 Existence of Matrix inverses depending on the existence of the inverse of the others..

# 102 Tags

 122 algebra-precalculus × 36 42 sequences-and-series × 20 69 discrete-mathematics × 16 40 linear-algebra × 41 66 real-analysis × 30 38 proof-writing × 8 63 inequality × 19 32 elementary-number-theory × 14 60 calculus × 34 27 matrices × 19

# 7 Accounts

 Mathematics 6,525 rep 827 Android Enthusiasts 114 rep 4 Stack Overflow 101 rep 1 Programmers 101 rep 1 Physics 101 rep 1