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MATH 1300 Limit Worksheet 1 23 15 1 Evaluatethefollowinglimits a lim h 0 p 2Ch 2 2 h Solution Wehave lim h 0 p 2Ch 2 2 h Dlim h 0 p 2Ch 2 p 2 2 h Dlim h 0 p 2Ch p 2 p 2ChC p 2 h Dlim h 0 h p 2ChC p 2 h Dlim h 0 Note that taking left hand limits does not make sense here since x3 Cx
Limits problems and solutions brought to you by sciency tech last updated February 13 2019 Summary This document contains some of the most common limits problems for you to review Feel free to jump around or start from the beginning
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Limits Precalculus Worksheet
Limits Precalculus Worksheet
Answers Calculus 1 Limits Worksheet 9 Using the Limit Laws Notice that the limits on this worksheet can be evaluated using direct substitution but the purpose of the problems here is to give you practice at using the Limit Laws 1 Evaluate this limit using the Limit Laws Show each step lim 5 2 2 3 4 Solution
Answers Calculus 1 Limits Worksheet 8 Limit Laws 1 Rewrite this limit using the Limit Laws Do not evaluate the limit lim 9 8 Solution The Multiple Law for limits states lim lim Therefore using the Limit Laws lim 9 8 8lim 9 Answer 8lim 9 2
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Answer is not continuous at 3 because lim 3 does not exist at 3 and the function does not exist at 3 Either of these reasons are sufficient
Practice with Limits Name Find the following limits Show all work and use L Hopital s Rule whenever possible Express your answer in exact form For example if the value of the limit is do not write 3 14 1 limsin x x 2 1 lim sin 3 22 lim x sin x x 4 1 lim sin
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Limits problems and solutions brought to you by sciency tech last updated February 13 2019 Summary This document contains some of the most common limits problems for you to review Feel free to jump around or start from the beginning
https://apmath.github.io/.../worksheet10.pdf
6 True or False If f is undefined at x c then the limit of f x as x approaches c does not exist 7 True of False If the lim f x L then f c L x c 6 Find the limit 1 limcos x 0 x 7 On the graph below draw the function y 4 x2 in the first quadrant
Limits problems and solutions brought to you by sciency tech last updated February 13 2019 Summary This document contains some of the most common limits problems for you to review Feel free to jump around or start from the beginning
6 True or False If f is undefined at x c then the limit of f x as x approaches c does not exist 7 True of False If the lim f x L then f c L x c 6 Find the limit 1 limcos x 0 x 7 On the graph below draw the function y 4 x2 in the first quadrant
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