Etienne

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9	Show that $\left(1+\dfrac{x}{n}\right)^n \to e^x$ as $n \to \infty$ in a normed ring $R$
7	$f$ is approximated uniformly on $R$ by $p_n(x)$, then $f$ is a polynomial
6	In calculus, can the $\delta$ always be expressed in terms of $\epsilon$?
6	True Or not: Compact iff every continuous function is bounded
6	Why does $L^1(\mathbb{R})$ not have the C* property?

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2,428 Reputation

+25	Limit of Integral of Difference Quotients of Measurable/Bounded $f$ Being $0$ Implies $f$ is Constant
+50	Prove for all $m, n \in \mathbb N$: $[1 + 3 +\cdots + (2n -1)]^m = n^{2m}$
+45	$f'(c) > 0$ implies increasing on $I$?
+15	Prove by the definition that $\ln:[\varepsilon, 1]\to\mathbb{R}$ is Cauchy-integrable and compute its integral

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60 Tags

31 real-analysis × 22	13 general-topology × 7
31 functional-analysis × 15	11 complex-analysis × 5
27 calculus × 9	11 approximation × 3
18 measure-theory × 12	9 ring-theory
15 analysis × 9	7 norm × 2

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$Mathematics Stack Exchange$	Mathematics	2,428 rep	6
	MathOverflow	287 rep	16

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