Question

Anyone was able to resolve exercise 1D-10?

Answer 1

\[g(h)=\]\[f(a+h)-f(a) \over h \]
this question is to show that the h=0 discontinuity is removable, showing that it exists on the left and the right equally, or that the limit of h approaching zero from the negative side is equal to the limit of h approaching zero from the positive side.

this is the definition of a derivative (difference quotient) if \[h=\Delta x\] as \[\lim_{\Delta x \rightarrow 0}\]

which the professor provides a nice proof for about 42 minutes into lecture 2.


hope this helps/

Answer 2

yeah, it really helps. Thank you!