Written Homework 3 2 2 2 3 2 4 Page 1 of 3 Math 140 PRINT YOUR NAME From the questions below please solve all 5 problems The homework is worth 10 points Each question is worth 2 points Show all of your work and put a box around your nal answer Number each attempted question clearly Write legibly that is suitably large and suitably dark if the grader can t read your answer it s consider uncompleted 1 Let f x x x 1 x 1 Complete the following table of values 0 9 0 99 0 999 1 001 1 01 1 1 x f x Use the table above to evaluate each of the following limits a lim x 1 f x d Use Desmos to sketch the graph Does the graph con rm your answer Explain 2 Evaluate the limit assuming that lim x 4 f x 3 and g x 1 b lim x 1 f x c lim x 1 f x a lim x 4 f x g x b lim x 4 2f x 3g x c lim x 4 f x 3 d lim x 4 g x x2 e lim x 4 f x 1 g x 9 Math 140 Written Homework 3 2 2 2 3 2 4 Page 2 of 3 graph png 3 From the above graph of y f x nd the following limits a lim x 4 f x b lim x 3 f x c lim x 2 f x d lim x 1 f x e lim x 2 f x f lim x 4 f x g lim x 4 f x h lim x 4 f x 4 Let f x 6 and g x 4x 1 Use the limit de nition to verify the following limits a lim x 8 f x 6 b lim x 4 g x 17 Math 140 Written Homework 3 2 2 2 3 2 4 Page 3 of 3 If possible calculate the following limits or determine that they do not exist Classify in nite limits if possible If there is not enough information to determine what happens nd examples that illustrate that di erent behavior is possible 5 Suppose f g h i j k are functions satisfying lim x 2 f x lim x 2 g x h x 0 for all x cid 54 2 and lim x 2 h x 0 lim x 2 i x 3 j x is a polynomial and j 2 5 k x x 2 j x x 2 a lim x 2 i x j x b lim x 2 i x j x c lim x 2 d lim x 2 cid 19 cid 18 i x h x cid 19 cid 18 i x f x e lim x 2 f x g x f lim x 2 f x g x g lim x 2 f x g x h lim x 2 cid 19 cid 18 f x g x i lim x 2 f x i x j lim x 2 f x i x k lim x 2 f x h x l lim x 2 k x m True or false k x j x for all x
View Full Document
Unlocking...