Question

Elementary proof (involving no series expansion) that $\tan x \approx x+\frac{x^3}{3}$ for small $x$

score 506 · Answer 1 · 2026-04-15 19:31:42

506

Views

Elementary proof (involving no series expansion) that $\tan x \approx x+\frac{x^3}{3}$ for small $x$

Published on 15 Apr 2026 - 19:31

score 813 · Answer 2 · 2026-04-14 10:40:38

813

Views

Euler's method for second order ODE

Published on 14 Apr 2026 - 10:40

score 24 · Answer 3 · 2026-04-16 23:13:42

24

Views

Computing the specific relative error

Published on 16 Apr 2026 - 23:13

score 265 · Answer 4 · 2026-04-12 14:23:44

265

Views

Bernstein polynomial: function to approximate

Published on 12 Apr 2026 - 14:23

score 211 · Answer 5 · 2026-04-13 02:26:42

211

Views

Can bounded analytic function defined on a simply connected region be approximated by bounded polynomials?

Published on 13 Apr 2026 - 2:26

score 109 · Answer 6 · 2026-04-08 18:40:46

109

Views

Approximation: Understanding a property of continued fractions and convergents

Published on 08 Apr 2026 - 18:40

score 439 · Answer 7 · 2026-04-14 01:50:55

439

Views

Show that a polynomial of degree 2n+2 exists such that the integration is not exact

Published on 14 Apr 2026 - 1:50

score 31 · Answer 8 · 2026-04-16 18:33:36

31

Views

Is this power series expansion of $2{({\sqrt{\frac{1}{x}}})^M}{K_M}({2\sqrt{\frac{1}{x}}})$ correct?

Published on 16 Apr 2026 - 18:33

score 368 · Answer 9 · 2026-04-17 09:29:50

368

Views

Is there a reasonably accurate and easy way to approximate lbs-stones or kg-stones (and vice versa)?

Published on 17 Apr 2026 - 9:29

score 30 · Answer 10 · 2026-04-14 08:28:05

30

Views

Deriving this Maclaurin expansion approximation of an even function at the origin $r=0$

Published on 14 Apr 2026 - 8:28

score 29 · Answer 11 · 2026-04-09 09:40:52

29

Views

How to approximate large quantities in Poisson Process

Published on 09 Apr 2026 - 9:40

score 215 · Answer 12 · 2026-04-15 18:02:41

215

Views

Approximating $\int \log\big[1+\sin^2(t)\big]\,dt$

Published on 15 Apr 2026 - 18:02

score 462 · Answer 13 · 2026-04-15 18:46:53

462

Views

A possible upper bound on the fractional part of exponential functions

Published on 15 Apr 2026 - 18:46

score 80 · Answer 14 · 2026-04-14 01:18:08

80

Views

Approximating partial series $\sum_{j=1}^{p} \sqrt{1-r^{2|k-j|}}/j$

Published on 14 Apr 2026 - 1:18

score 139 · Answer 15 · 2026-04-13 08:24:55

139

Views

Gaussian Quadrature strategy for $\int\limits_0^s {f\left( x \right){e^{ - ax}}} dx$?

Published on 13 Apr 2026 - 8:24

List Question

Elementary proof (involving no series expansion) that $\tan x \approx x+\frac{x^3}{3}$ for small $x$

Euler's method for second order ODE

Computing the specific relative error

Bernstein polynomial: function to approximate

Can bounded analytic function defined on a simply connected region be approximated by bounded polynomials?

Approximation: Understanding a property of continued fractions and convergents

Show that a polynomial of degree 2n+2 exists such that the integration is not exact

Is this power series expansion of $2{({\sqrt{\frac{1}{x}}})^M}{K_M}({2\sqrt{\frac{1}{x}}})$ correct?

Is there a reasonably accurate and easy way to approximate lbs-stones or kg-stones (and vice versa)?

Deriving this Maclaurin expansion approximation of an even function at the origin $r=0$

How to approximate large quantities in Poisson Process

Approximating $\int \log\big[1+\sin^2(t)\big]\,dt$

A possible upper bound on the fractional part of exponential functions

Approximating partial series $\sum_{j=1}^{p} \sqrt{1-r^{2|k-j|}}/j$

Gaussian Quadrature strategy for $\int\limits_0^s {f\left( x \right){e^{ - ax}}} dx$?

Trending Questions

Popular # Hahtags

Popular Questions