9 problems.
- Inverse functions and the inverse of \((x+2)/(3x-1)\)
- Continuity at a point and continuity of \(x^2\) at \(2\)
- Convergence of \(\frac{n^2+2}{n^2+3n}\) to \(1\)
- Taylor series of \(\ln x\) at \(1\), approximating \(\ln 1.1\)
- \(\int_0^{10\pi}|\sin x|\,dx\)
- The Jacobian matrix of a map \(\mathbb{R}^n\to\mathbb{R}^m\), and the Jacobian of \((r\cos\theta,r\sin\theta)\) at the origin
- Three linear combinations of independent vectors are independent
- Diagonalization of \(\begin{pmatrix}2&1\\1&2\end{pmatrix}\)
- Cube roots of \(i\) and the value of \((1+i)^5\)