List questions from rational-functions

Published on 25 Mar 2021 - 22:58

61

Views

$\frac{(x-a)^2}{(x-2a)^2}=\left\lvert{ {\frac{x-a}{x-2a}} }\right\rvert$ leading to contradictory solutions

Published on 30 Mar 2021 - 8:42

27

Views

Solving Rational Equations.

Published on 31 Mar 2021 - 15:04

523

Views

Proving $\sqrt{x}$ is not a rational function

Published on 05 Apr 2021 - 15:27

487

Views

Alternative proofs that square root is irrational function

Published on 09 Apr 2021 - 18:13

84

Views

Solving $\frac1{x-2} + \frac1{x-1} > \frac1x$

Published on 16 Apr 2021 - 12:30

221

Views

Does $y= x^3$ have a horizontal asymptote at $x = 0$

Published on 18 Apr 2021 - 1:53

125

Views

Finding the degree-$n$ Taylor polynomial of $\frac{x^5}{1 + x^2}$

Published on 18 Apr 2021 - 11:43

33

Views

$F(X)=F(\frac 1 X) \iff \exists G \in \mathbb{C}(X), G(X+ \frac 1 X)=F$

Published on 18 Apr 2021 - 16:27

155

Views

partial fraction decomposition: inserting roots which are not in the domain

Published on 19 Apr 2021 - 9:53

284

Views

Solve the equation $\frac{1}{x}+\frac{1}{x+1}+\frac{1}{x+2}+\frac{1}{x+3}+\frac{1}{x+4}=0$

Published on 28 Apr 2021 - 20:58

443

Views

In what sense is Pade aproximation "best"

Published on 25 Mar 2026 - 6:01

1k

Views

Determining X-intercepts of a rational function

Published on 12 May 2021 - 18:38

74

Views

Integrating in a rational way

Published on 13 May 2021 - 13:02

1k

Views

Rational Function approximation of tan

Published on 30 Mar 2026 - 2:10

List Question

Fastest way to find derivative of the function at the given point

$\frac{(x-a)^2}{(x-2a)^2}=\left\lvert{ {\frac{x-a}{x-2a}} }\right\rvert$ leading to contradictory solutions

Solving Rational Equations.

Proving $\sqrt{x}$ is not a rational function

Alternative proofs that square root is irrational function

Solving $\frac1{x-2} + \frac1{x-1} > \frac1x$

Does $y= x^3$ have a horizontal asymptote at $x = 0$

Finding the degree-$n$ Taylor polynomial of $\frac{x^5}{1 + x^2}$

$F(X)=F(\frac 1 X) \iff \exists G \in \mathbb{C}(X), G(X+ \frac 1 X)=F$

partial fraction decomposition: inserting roots which are not in the domain

Solve the equation $\frac{1}{x}+\frac{1}{x+1}+\frac{1}{x+2}+\frac{1}{x+3}+\frac{1}{x+4}=0$

In what sense is Pade aproximation "best"

Determining X-intercepts of a rational function

Integrating in a rational way

Rational Function approximation of tan

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