rar

1,279 reputation

724

bio	website
	location	San Francisco, CA
	age	34
visits	member for	1 year, 3 months
	seen	22 mins ago
stats	profile views	206

Self-Studying mathematics.

Currently reading:
Apostol, Calculus, Volumes I & II
Hardy & Wright, An Introduction to the Theory of Numbers
Hoffman & Kunze, Linear Algebra
Munkres, Topology
Enderton, Elements of Set Theory

	1,279 reputation	bio	website		visits	member for	1 year, 3 months
724 badges		location	San Francisco, CA		seen	22 mins ago

summary answers questions tags badges favorites bounties reputation activity

13 Questions

views newest activity votes

votes

answers

kviews

What makes elementary functions elementary?

mar 1 at 21:15 imranfat 374

votes

answers

925

views

Must we use induction to prove a statement for all integers

soft-question proof-strategy induction

apr 26 '12 at 15:57 rar 1,279

votes

answers

kviews

Is Mega Millions Positive Expected Value?

probability recreational-mathematics

apr 14 '12 at 9:27 rar 1,279

votes

answer

346

views

Exercise 26 from Apostol's Calculus (p. 209, parts (c) & (d)))

calculus

mar 21 '12 at 15:02 rar 1,279

votes

answers

248

views

Prove that $\left|\int_a^b f(x) dx - (b-a) f(a) \right| \leq \frac{(b-a)^2}{2}$ when $f$ satisfies $|f(u)-f(v)|\leq |u-v|$

calculus analysis

1d ago Argha 1,528

votes

answer

261

views

Apostol Calculus, Volume I, Chapter 8.7, Exercises 9 & 10 (p. 320)

calculus differential-equations

apr 23 '12 at 22:57 David Mitra 40.9k

votes

answer

104

views

Calculating $f(0), f'(0), f''(0)$ for a function $f$ satisfying $\lim_{x \to 0} (1 + x + f(x)/x)^{1/x} = e^3$.

calculus limit

apr 10 '12 at 21:06 Did 102k

votes

answers

194

views

How to prove $\int_0^1 \frac{1+x^{30}}{1+x^{60}} dx = 1 + \frac{c}{31}$, where $0 < c < 1$

calculus taylor-expansion

apr 5 '12 at 1:11 copper.hat 28.4k

votes

answers

104

views

Trying to find $\lim_{x \to 0} \frac{x - \sin x}{(x \sin x)^{(3/2)}}$ using L'Hopital's

calculus limit

jun 23 at 11:42 Chris's wise sister 11.5k

votes

answers

492

views

Bound for error term in Taylor expansion of $\arctan x$.

calculus taylor-expansion

apr 5 '12 at 1:07 rar 1,279

votes

answers

views

Computing $f(x)$ if $\int_1^{xy} f(t) dt = y \int_1^x f(t) dt + x\int_1^y f(t) dt$ and $f(1) = 3$

calculus

mar 24 '12 at 21:51 David Mitra 40.9k

votes

answer

175

views

Proving equivalent form of the mean-value theorem for derivatives

calculus derivatives

mar 16 '12 at 0:09 David Mitra 40.9k

vote

answers

255

views

Apostol Calculus, Volume I, Chapter 7.11, Problem 31 (p. 291), $o$-notation

calculus

apr 9 '12 at 14:30 rar 1,279