Unformatted text preview: Lim sin x = sin c (for sin, cos, tan, csc, sec, cot & ln) Lim sin x/ x =1 x-> 0 Lim (1- cos x)/x = 0 x->0 Lim (1+x)1/x = e x->0 Continuity: being able to draw a function w/o picking up pencil Ex of not continuity: open circle, stop start somewhere else, etc ; Closed interval = brackets, open interval = parenthesis Not continuous: open dot, lines not connected, open dot on line, solid dot not on line Removable discontinuity: can be found using a limit; Nonremoveable discontinuity: limit doesn’t agree (ex. Two lines approaching different points) One Sided limits: lim (x c) f(x) = L right means that x approaches c from values greater than c: x c + left values less than c: x c- limit DNE: limit from left doesn’t equal limit from right Greatest Interger: [[x]] = greatest integer n such that n ≤ x; [[2.5]] = 2 and [[-2.5]] = -3...
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- Spring '08
- Topology, lim, Continuous function, Inverse function, functions Lim sin