List questions from limits

Published on 29 Apr 2026 - 12:09

66

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Given info regarding $f$ show it is "$1-1$" and more

Published on 23 Apr 2026 - 2:33

40

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Limit associated with function of two variables $x$ and $y$

Published on 24 Apr 2026 - 19:43

306

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Compute $\lim_{n\to\infty} \frac {1}{n^k}\binom{n}{k}$

Published on 14 Apr 2026 - 7:08

515

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Convergence of sequence of power series implies convergence of coefficients

Published on 15 Apr 2026 - 15:06

130

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Evaluate $\lim_{n \to \infty} \big \{ f(a+1/n^2)+f(a+2/n^2)+\cdots+f(a+n/n^2)-nf(a) \big\}$.

Published on 15 Apr 2026 - 18:37

93

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When can $0^0=0$?

Published on 16 Apr 2026 - 3:56

131

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Rules for limits equalities in relation to squaring

Published on 09 Apr 2026 - 5:37

250

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$\Delta x$ in the limit-definition, or Riemann-Sum-definition, of an Integral.

Published on 09 Apr 2026 - 10:45

124

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Why am I getting inconsistent limit results?

Published on 15 Apr 2026 - 15:40

143

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Is f(x,y) continuous at (0,0) $ f(x,y) = (x+y)^2\cos\left(\frac{1}{\sqrt{x^2+y^2}}\right)$

Published on 15 Apr 2026 - 18:08

1.1k

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Check the continuity of a function of two variables

Published on 14 Apr 2026 - 8:02

1.1k

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Proving Limit of sequence using Epsilon-N definition

Published on 12 Apr 2026 - 18:56

734

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Continuity of functions of two variables

Published on 24 Apr 2026 - 19:44

72

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Limit as x goes to zero $y(x)=(\frac{a^x+b^x}{2})^{1/x}$ for $a,b>0$

Published on 16 Apr 2026 - 18:01

List Question

Baire category and the existence of very continuous functions

Given info regarding $f$ show it is "$1-1$" and more

Limit associated with function of two variables $x$ and $y$

Compute $\lim_{n\to\infty} \frac {1}{n^k}\binom{n}{k}$

Convergence of sequence of power series implies convergence of coefficients

Evaluate $\lim_{n \to \infty} \big \{ f(a+1/n^2)+f(a+2/n^2)+\cdots+f(a+n/n^2)-nf(a) \big\}$.

When can $0^0=0$?

Rules for limits equalities in relation to squaring

$\Delta x$ in the limit-definition, or Riemann-Sum-definition, of an Integral.

Why am I getting inconsistent limit results?

Is f(x,y) continuous at (0,0) $ f(x,y) = (x+y)^2\cos\left(\frac{1}{\sqrt{x^2+y^2}}\right)$

Check the continuity of a function of two variables

Proving Limit of sequence using Epsilon-N definition

Continuity of functions of two variables

Limit as x goes to zero $y(x)=(\frac{a^x+b^x}{2})^{1/x}$ for $a,b>0$

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