New posts in approximation

Is $\pi^k$ any closer to its nearest integer than expected?

Approximating $\int_1^{10}x^x\mathrm dx$ to within 5% relative error

How to prove that: $19.999<e^\pi-\pi<20$?

What is the meaning of "mean-field"?

Euler's Approximation of pi.

Approximate $|x|$ with a smooth function

Closed form for the harmonic approximation sum $\sum _{k=1}^{\infty } \left(H_k^{(2)}-\zeta (2)\right){}^2$

How do you find "good" rational approximations to a decimal number?

Find bound for sum of square roots

How to calculate $e^x$ with a standard calculator

About the first positive root of $\sum_{k=1}^n\tan(kx)=0$

If $a_{1}=1$ and $a_{n+1}=1+\frac{n}{a_{n}}$, then $a_{n}=\sqrt{n}+\frac{1}{2}-\frac{1}{8\sqrt{n}}+o\left(\frac{1}{\sqrt{n}}\right)$

Differences among Cauchy, Lagrange, and Schlömilch remainder in Taylor's formula: why is generalization useful?

Why is $22/7$ a better approximation for $\pi$ than $3.14$?

Approximation for $(1 - \frac{1}{x})^x$

Approximation theorems

approximating a maximum function by a differentiable function

How to justify small angle approximation for cosine

Use of approximation sign

Representation of $e$ as a descending series