Question: I need help with the following question. Question 1) We know that the limit laws only hold when limxa f(x) and limxa g(x) exist. For

I need help with the following question.

Question 1)

We know that the limit laws only hold when limxa f(x) and limxa g(x) exist. For the following you must justify your answer.

(a) Find an example of two functions f and g such that limxa g(x) and limxa (f(x)g(x)) exist, but limxa f(x) does not.

(b) Find an example of two functions f and g such that limxa f(x) and limxa f(x) g(x) exist, but limxa g(x) does not exist.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

17-24. Applying limit laws Assume lim f (x) = 8. lim g (x) = 3, and lim h (x) = 2. Compute the following limits 4-1 4-1 and state the limit laws used to justify your computations. 17. lim 14/ ()1 18....

Q:

Hello tutors please help with the following question: note* this isn't for an assignment but rather for my own comprehension and understanding! Thank you. State whether each of the following...

Q:

Hello tutors please help with the following question: note* this isn't for an assignment but rather for my own comprehension and understanding! Thank you. State whether each of the following...

Q:

Hello tutors please help with the following question: please make sure to do each part of the questions part a b c d or more if required! note* this isn't for an assignment but rather for my own...

Q:

Hello tutors please help with the following question: please make sure to do each part of the questions part a b c d or more if required! note* this isn't for an assignment but rather for my own...

Q:

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

Q:

Hi, I need help with these 47. [-/0.24 Points] DETAILS LARCALCET7 2.3.020. 0/6 Submissions Used Find the limits. f (x) = x+ 3 g(x) = x2 (a) lim f(x) = x - 1 (b) lim g(x) = X - (c) lim g(f(x)) = x - 1...

Q:

The questions are in the photos below: I would like them all solved correctly. Question 10 Suppose that f and g are continuous functions such that f (-1) = -2 and lim (f(x) + 3 g(x)) = 3. Not yet...

Q:

Could any one help me on the Question 4? I don't know how to consider it. Bachelor of Business (Incorporating Graduate Diploma and Graduate Certificate in Business) Managerial Finance (367910)...

Q:

Could any one help me on the Question 4? I don't know how to consider it. Bachelor of Business (Incorporating Graduate Diploma and Graduate Certificate in Business) Managerial Finance (367910)...

Q:

Consider a multinomial experiment involving n = 300 trials and k = 5 cells. The observed frequencies resulting from the experiment are shown in the accompanying table, and the null hypothesis to be...

Q:

Six years ago, Bullco, Inc., a domestic manufacturer of mold- injection systems, established a sales and service operation in Madrid, Spain. The Madrid office was structured as a Spanish corporation,...

Q:

Question Content Area Which of the following types of interest is likely to be deductible in 2 0 2 4 ? a . Interest on personal credit cards b . Interest on a $ 1 5 0 , 0 0 0 mortgage on a principal...

Q:

1) For a venture, the sales forecast for August is $12M. The Cost of goods sold for all months is 60%. The firm has a policy to have in hand inventory to cover 70% of its sales for the month, and the...