Chapter 1.1 lecture Notes
Chapter 1.1 lecture Notes STAT 1102 - 003
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STAT 1102 - 003
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This 2 page Class Notes was uploaded by Kayla Notetaker on Saturday September 26, 2015. The Class Notes belongs to STAT 1102 - 003 at Temple University taught by Ron Kershner in Fall 2015. Since its upload, it has received 80 views. For similar materials see QUANTITATIVE METHODS FOR BUSINESS II in Statistics at Temple University.
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Date Created: 09/26/15
C11 Lecture Notes What is a limit Limits are defined at a single point on the xaxis Limit is where the graph approaches a certain x value without touching it Notation Limx a L quotAs x gets closer to a the limit of the function fx is L Limits from the right x gta Trace the graph start from the positive side to the limit in question Limits from the right x gta39 Trace the graph starting from the negative end to the limit in question If there are no or symbols then the limit is being determined from both the left and right How do we know there is a limit If x gtaand x gta39are the same number then the limit exists Example x2 1 x 1 Lim H1 fx 1 Find domain a Set xl O b X 1 c The graph is undefined at x 1 so to find the limit we must find what fx as it approaches 1 2 Find the right limit x2 1 x 1 a Lim 1 fx b Plug one into the equation c1quot2 111O d Didn t work Factor the top 3 Find the limit on the left Lim X 1fX a b c QO quoth 9 x 1x1 xl x1 cancel with each other leaving x1 Now plug in the limit to x 1 1 1 2 The limit from the right is 2 x2 1 x 1 Repeat steps from above Factor the equation leaving x 1 Plugin 1 112 4 Does the limit exist a 9996 Do the left and right limits match The right limit 2 The left limit 2 2 2 THE LIMIT EXISTS
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