Find all the errors, if any, in the following L'Hospital's rule argument

Taking the derivative of x

Solve this integral for free WiFi

Simple continued fraction of $\sqrt{d}$ with period of shortest length $3$

Does there exist a nonzero ring homomorphism from the ring of square rational matrices to the ring of rational numbers?

Seeking series formula for: $3, 2, 4, 7, 11, 16, 26, 39, 63, 94, 152, 227, 367, 548, 886, 1323, 2139, 3194$

Can permutation similarities change order of Kronecker products?

Find $n$ such that $n\sqrt5 - \lfloor{n\sqrt5}\rfloor$ is maximised or minimised?

Solve binomial coefficient equation

Is the “sum of all natural numbers” unique?

Why does modular exponentiation always form a cycle?

Find the double integral $\int_{0}^1 \int_{y}^1 e^{x^2} \ dx \ dy $

Evaluate the following limit: $\lim_{x \to 0} (1+x)^{\tan(\frac{1}{x})}$

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