1. Show that f is continuous at To if and only if limIf(To + h) - f(To)] = 0. Hint: write down the formal -6 definitions of "f is continuous at ro" and limIf(To + h) - f(To)] = 0. 2. Calculate the following limits: Note: L'Hopitals' Rule is not allowed to use for any limits in this worksheet. (a) ling - -3 2 - I (b) ling (x -3)2 sin x (c) lim - sin x (d) lim T (e) lim Va+1-1 (f) lim Viz + 1+ 2x