Question

Is it inuitively correct to say that $\lim_{n \to \infty} \frac{x}{n} = \mathrm{d}x$?

score 160 · Answer 1 · 2021-01-16 01:49:29

160

Views

Is it inuitively correct to say that $\lim_{n \to \infty} \frac{x}{n} = \mathrm{d}x$?

Published on 16 Jan 2021 - 1:49

score 88 · Answer 2 · 2021-01-18 04:01:25

88

Views

Integral using the Riemann Sum

Published on 18 Jan 2021 - 4:01

score 73 · Answer 3 · 2021-01-19 16:25:09

73

Views

Why can you transition from a Riemann Sum to an Intergal?

Published on 19 Jan 2021 - 16:25

score 53 · Answer 4 · 2021-01-20 13:47:04

53

Views

Determine function from Reimann sum

Published on 20 Jan 2021 - 13:47

score 327 · Answer 5 · 2021-01-21 15:45:02

327

Views

Prove that $R_n < M_n < L_n$ ,for right, mid-point and left Riemann sum

Published on 21 Jan 2021 - 15:45

score 98 · Answer 6 · 2021-01-21 21:14:05

98

Views

Definite integrals as Riemann sums

Published on 21 Jan 2021 - 21:14

score 138 · Answer 7 · 2021-01-23 05:40:21

138

Views

Show that there exists a partition and sample points such that the Riemann sum equals any intermediate value

Published on 23 Jan 2021 - 5:40

score 140 · Answer 8 · 2026-03-26 19:19:00

140

Views

Equivalence of definition of definite integral with sequences and with nets

Published on 26 Mar 2026 - 19:19

score 376 · Answer 9 · 2026-03-28 08:09:56

376

Views

Understanding how different groupings of terms in an Infinite series can lead to different answers.

Published on 28 Mar 2026 - 8:09

score 102 · Answer 10 · 2021-01-29 23:16:26

102

Views

Reverse Characteristic Function of the Cantor Set

Published on 29 Jan 2021 - 23:16

score 1.1k · Answer 11 · 2021-01-30 21:48:37

1.1k

Views

Prove that $ f(x) = |x| $ is Riemann integrable on the interval [-1, 2] using lower and upper integrals

Published on 30 Jan 2021 - 21:48

score 135 · Answer 12 · 2021-02-01 03:17:29

135

Views

Proof: if $f(x)\ge c$ on $[a,b]$, then $\int_{a}^{b}{f(x)dx} \ge c(b-a)$,where $a,b,c \in{R}$ and $a<b$, for some real-valued continuous function $f$.

Published on 01 Feb 2021 - 3:17

score 228 · Answer 13 · 2021-02-02 00:56:37

228

Views

Integral of $\sqrt{4-x^2}$ by Riemann sum

Published on 02 Feb 2021 - 0:56

score 55 · Answer 14 · 2021-02-03 02:24:06

55

Views

How to prove that if $S(S,f,\{p_i\})=\sum f(p_j)A(D_j)$ then $|\iint_{R}f-S|(S,f,\{p_i\})|<\varepsilon$

Published on 03 Feb 2021 - 2:24

score 33 · Answer 15 · 2021-02-11 16:18:34

33

Views

Estimate the area under $f(x) = \frac{1}{2}x^2 - 1$ from $x = 0$ to $4$ using two right hand rectangles.

Published on 11 Feb 2021 - 16:18

List Question

Is it inuitively correct to say that $\lim_{n \to \infty} \frac{x}{n} = \mathrm{d}x$?

Integral using the Riemann Sum

Why can you transition from a Riemann Sum to an Intergal?

Determine function from Reimann sum

Prove that $R_n < M_n < L_n$ ,for right, mid-point and left Riemann sum

Definite integrals as Riemann sums

Show that there exists a partition and sample points such that the Riemann sum equals any intermediate value

Equivalence of definition of definite integral with sequences and with nets

Understanding how different groupings of terms in an Infinite series can lead to different answers.

Reverse Characteristic Function of the Cantor Set

Prove that $ f(x) = |x| $ is Riemann integrable on the interval [-1, 2] using lower and upper integrals

Proof: if $f(x)\ge c$ on $[a,b]$, then $\int_{a}^{b}{f(x)dx} \ge c(b-a)$,where $a,b,c \in{R}$ and $a<b$, for some real-valued continuous function $f$.

Integral of $\sqrt{4-x^2}$ by Riemann sum

How to prove that if $S(S,f,\{p_i\})=\sum f(p_j)A(D_j)$ then $|\iint_{R}f-S|(S,f,\{p_i\})|<\varepsilon$

Estimate the area under $f(x) = \frac{1}{2}x^2 - 1$ from $x = 0$ to $4$ using two right hand rectangles.

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