Recent content by shirewolfe

I'm not an expert in this but perhaps the following explanation may help. Removeable discontinuity occurs when the discontinuous 'point' or gap can be redefined to make the graph continuous. Such as if f(x)=x occurs but is undefined at x=3 (possibly due to a set interval). If you define...

By 'finding' 2 through the substitution of 1 in f(x)=[(x^2)+1] I meant that it was a possible limit whose validity must be varified through the E-d definition. Thank you for correcting me however, to avoid my own future confusion. Thanks for the helpful guidance and clarification.

I am having trouble proving the limits of quadratic functions such as the following. (I used "E" to represent epsilon and "d" for delta) lim [(x^2)+1] x->1 I found the limit, L, to equal 2 and have proceeded through the following steps: |f(x) - L| < E | [(x^2)+1] - 1| < E...