Question

A sequence $p_n(x)$ that converges for infinitely many values of $x$

score 86 · Answer 1 · 2026-04-15 22:24:07

86

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A sequence $p_n(x)$ that converges for infinitely many values of $x$

Published on 15 Apr 2026 - 22:24

score 496 · Answer 2 · 2026-04-15 11:54:58

496

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Limit of $\left(1+\frac{1}{\sqrt n}\right)^n$ as n tends to $\infty$

Published on 15 Apr 2026 - 11:54

score 83 · Answer 3 · 2026-04-15 22:34:10

83

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Prove that $f$ has a limit at infinity, provided that $|f(x)-f(x_n)| \leq 1/n$

Published on 15 Apr 2026 - 22:34

score 98 · Answer 4 · 2026-04-16 09:27:42

98

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Why is $y_{n+1}=\frac{1}{2}(y_n+\sqrt{\frac{1}{2^{2n}}+y_n^2})$ giving the inverse of $\pi$?

Published on 16 Apr 2026 - 9:27

score 55 · Answer 5 · 2026-04-16 08:43:06

55

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Value of $\lim_{n\rightarrow\infty}b_{n}$ is

Published on 16 Apr 2026 - 8:43

score 40 · Answer 6 · 2026-04-12 11:18:01

40

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Continuity: difference between these terms and phrases

Published on 12 Apr 2026 - 11:18

score 114 · Answer 7 · 2026-04-18 03:24:57

114

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Show $\lim_{(x, y) \to (0, 0)} \frac{x^2 + y^2}{y}$ does not exist

Published on 18 Apr 2026 - 3:24

score 37 · Answer 8 · 2026-04-17 14:40:59

37

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$f(x) \rightarrow L$ as $x \rightarrow c$ iff $f|_A (x) \rightarrow L$ as $x \rightarrow c$.

Published on 17 Apr 2026 - 14:40

score 184 · Answer 9 · 2026-04-14 04:33:42

184

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the limit exist iff one-sided limits exist and are equal

Published on 14 Apr 2026 - 4:33

score 40 · Answer 10 · 2026-04-09 02:37:06

40

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How to find this function's discontinuity points?

Published on 09 Apr 2026 - 2:37

score 39 · Answer 11 · 2026-04-15 16:21:11

39

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Prove $A(r)=\frac{1}{r^d} \int_{B(0,r)} |f(x-y)-f(y)|dy=0$ as $r \rightarrow 0$

Published on 15 Apr 2026 - 16:21

score 153 · Answer 12 · 2026-04-15 01:25:54

153

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Can I compute the limit using $\lim_{x \to 0}e^x -1 =x$?

Published on 15 Apr 2026 - 1:25

score 35 · Answer 13 · 2026-04-15 11:39:22

35

Views

prove that $g(f(x)) \rightarrow L$ as $f(x) \rightarrow c_2$

Published on 15 Apr 2026 - 11:39

score 1.6k · Answer 14 · 2026-04-10 19:02:39

1.6k

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Proof verification: convergent series with a finite number of negative terms is Absolutely Convergent

Published on 10 Apr 2026 - 19:02

score 480 · Answer 15 · 2026-04-13 19:59:16

480

Views

Prob. 3, Sec. 3.4, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Does this sequence converge?

Published on 13 Apr 2026 - 19:59

List Question

A sequence $p_n(x)$ that converges for infinitely many values of $x$

Limit of $\left(1+\frac{1}{\sqrt n}\right)^n$ as n tends to $\infty$

Prove that $f$ has a limit at infinity, provided that $|f(x)-f(x_n)| \leq 1/n$

Why is $y_{n+1}=\frac{1}{2}(y_n+\sqrt{\frac{1}{2^{2n}}+y_n^2})$ giving the inverse of $\pi$?

Value of $\lim_{n\rightarrow\infty}b_{n}$ is

Continuity: difference between these terms and phrases

Show $\lim_{(x, y) \to (0, 0)} \frac{x^2 + y^2}{y}$ does not exist

$f(x) \rightarrow L$ as $x \rightarrow c$ iff $f|_A (x) \rightarrow L$ as $x \rightarrow c$.

the limit exist iff one-sided limits exist and are equal

How to find this function's discontinuity points?

Prove $A(r)=\frac{1}{r^d} \int_{B(0,r)} |f(x-y)-f(y)|dy=0$ as $r \rightarrow 0$

Can I compute the limit using $\lim_{x \to 0}e^x -1 =x$?

prove that $g(f(x)) \rightarrow L$ as $f(x) \rightarrow c_2$

Proof verification: convergent series with a finite number of negative terms is Absolutely Convergent

Prob. 3, Sec. 3.4, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Does this sequence converge?

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