2018-11-28

I continued thinking about the chain rule and working on the page for it (in particular, adding the limits of sequence proof).

I also returned to thinking about proving the continuity of f(x) := a^x (for fixed a > 0). (I know there is an (\epsilon, \delta) proof to show continuity at zero, but I was wondering if I could do it using the squeeze theorem for sequences. I wasn’t able to find a satisfactory proof for this.)

I also thought a bit about the method of finding the inverse of a matrix by solving equations Ax = e_j.

I also asked a question on Math Stack Exchange.

I also posted a comment on LessWrong about an exercise in volume II of Analysis.