New posts in Approximation

An Inconsistency in Numerical Approximation

Evaluating the integral $\int_0^1 \frac{\cos bx}{\sqrt{x^2+s^2} }dx$

Calculating the square root of 2

Why is $x^n\approx \left(n(x^{1/4096}-1)+1\right)^{4096}$?

Why does the approximation for exponents $(a+b)^c \approx a^{c-bc} (a+1)^{cb}$ work?

When do Taylor series provide a perfect approximation?

Is infinitely small error the same as $0$ error?

How can I generate "random" curves?

What's the closest approximation to $\pi$ using the digits $0-9$ only once?

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