9 problems.
- Every convergent sequence is Cauchy
- \(n^3+2n\) is divisible by \(3\)
- Complex solutions of \(e^z=2i\)
- The projection onto the line \(x+2y=0\) along \(\operatorname{span}\{(1,2)\}\)
- Diagonalize \(\begin{pmatrix}-1&1\\0&2\end{pmatrix}\)
- The indefinite integral of a Riemann integrable function is continuous
- The line integral \(\int_\tau x\,dy+y\,dx\) along the unit-circle arc from \((1,0)\) to \((3/5,4/5)\)
- \(x^2 y/(x^2+y^2)\) is continuous at the origin but not differentiable
- \(x/(x+n)\) converges pointwise to \(0\) on \([0,\infty)\) but not uniformly