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1 Use the graph of f x to determine if the statements in problems 25 32 are true or false For problems 33 44 find the indicated limit
WORKSHEET LIMITS 1 Use the graph of the function f x to answer each question Use 1 1 or DNEwhere appropriate a f 0 b f 2 c f 3 d lim x 0 f x e lim x 0 f x f lim x 3 f x g lim x 3 f x h lim x 1 f x 2 Use the graph of the function f x to answer each question Use 1 1 or DNEwhere appropriate a f
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Exercises Limits
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Exercises Limits
Limit Worksheet 1 23 15 1 Evaluate the following limits p 2 2 C h a lim h 0 Solution We have 2 p 2 p 2 p p p p C lim h 0 h 2 2 C h 2 D lim h h 0 D lim p p h h 0 2 C h 2 2 C h C 2 h D lim h 0
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 Evaluate this limit using the Limit Laws Show each step lim 2 2 3 4 Solution Using the Limit Laws rewrite the limit
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Limit Exercise 1 The graph of a function f is drawn above answer the questions a f 4 b lim f x c lim f x d lim f x x 4 x 4 x 4 e f 2 f lim f x x 2 g lim f x x 2 h lim f x x 2 i f 0 j lim f x x 0 k lim f x x 0 l lim f x x 0 m f 2 n lim f x x 2 o lim f x x 2
Exercise Set 2 1 Limits Math 1314 Page 2 of 5 Section 2 1 Exercises 7 8 9 2 10 For problems 11 44 find the indicated limit or state that the limit does not exist 11 5 lim 3 x 12 1 lim 7 x 13
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WORKSHEET LIMITS 1 Use the graph of the function f x to answer each question Use 1 1 or DNEwhere appropriate a f 0 b f 2 c f 3 d lim x 0 f x e lim x 0 f x f lim x 3 f x g lim x 3 f x h lim x 1 f x 2 Use the graph of the function f x to answer each question Use 1 1 or DNEwhere appropriate a f
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https://faculty.bard.edu/~mbelk/math141/LimitsExercises.pdf
Exercises Limits Answers 1 1 2 0 5 3 infinity 4 no limit 5 0 1353 6 0 5774 7 x 4x2 the limit is 0 8 x3 x the limit is 9 6x 2x the limit is 3 10 x2 x2 11 x2 3x2 the limit is 1 3 12 4x3 x2 the limit is 13 x2 2x the limit is 0 the limit is 1 14 3x x5 the limit is
WORKSHEET LIMITS 1 Use the graph of the function f x to answer each question Use 1 1 or DNEwhere appropriate a f 0 b f 2 c f 3 d lim x 0 f x e lim x 0 f x f lim x 3 f x g lim x 3 f x h lim x 1 f x 2 Use the graph of the function f x to answer each question Use 1 1 or DNEwhere appropriate a f
Exercises Limits Answers 1 1 2 0 5 3 infinity 4 no limit 5 0 1353 6 0 5774 7 x 4x2 the limit is 0 8 x3 x the limit is 9 6x 2x the limit is 3 10 x2 x2 11 x2 3x2 the limit is 1 3 12 4x3 x2 the limit is 13 x2 2x the limit is 0 the limit is 1 14 3x x5 the limit is
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