I have absolutely no idea how to solve these type of problems. My teacher gave a lecture about this subject two days ago, and I took a look at this stickied thread, but I'm still stuck. :s

In exercises 1–8, numerically and graphically determine aδcorrespondingto (a)=ε0=.1 and (b)ε0.05.Graph the functionin theε−δwindow [x-range is (a−δ,aδ) andy-range is(L−ε,L +ε)] to verify that your choice works.

1.lim

x→0 (x^2 + 1) = 1

In exercises 9–20, symbolically findδin terms ofε.

15.limx→1 (x^2 +x− 2)/(x− 1) = 3

52.A fiberglass company ships its glass as spherical marbles. If the volume of each marble must be withinεofπ/6, how close does the radius need to be to 1/2?