Use Theorems 14 to show that the function is continuous. THEOREM 1 Basic Laws of Continuity If
Question:
Use Theorems 1–4 to show that the function is continuous.
Transcribed Image Text:
THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous at x = C: (i) f + g and f-g (iii) fg (ii) kf for any constant k (iv) f/g if g(c) #0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
1x The function is a rational function whose denominator 1 x is never equal to 0 so thi...View the full answer
Answered By
Charles Okinda
students should give all the instructions concerning the challenge that they face. they will get an immediate response because I am always online.
4.90+
754+ Reviews
1483+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use Theorems 14 to show that the function is continuous. f (x) = 3x + 4 sin x THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous...
-
Use Theorems 14 to show that the function is continuous. THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous at x = C: (i) f + g...
-
Use Theorems 14 to show that the function is continuous. THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous at x = C: (i) f + g...
-
Describe who gets hurt in a recession, and how?
-
What steps could a company take to avoid making product design and marketing mistakes when introducing new products into East Germany? How would you go about hiring a plant manager for a facility you...
-
Assume that you are considering replacing your old Nissan with a new Hyundai, as in the previous problem. However, the annual maintenance cost of the old Nissan increases as time goes by. It is...
-
What is visual agnosia?
-
a. If a firm buys under terms of 3/15, net 45, but actually pays on the 20th day and still takes the discount, what is the nominal cost of its non-free trade credit? b. Does it receive more or less...
-
Required information Exercise 9-12A Record bonds issued at a premium and related semiannual interest (LO9-5) [The following information applies to the questions displayed below.] On January 1, 2021,...
-
Determine the points of discontinuity. State the type of discontinuity (removable, jump, infinite, or none of these) and whether the function is left- or right-continuous. f(x)= = X
-
Use Theorems 14 to show that the function is continuous. (x) = 3x 3 + 8x 2 20x THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous...
-
What are some ways to implement your recommendation?
-
1. Gluteus maximus muscle and mention the structures covered by it.
-
2. External features and relations of Kidney.
-
3. Features of Synovial joint and its classification.
-
1. Name the paranasal air sinuses.
-
2. Name the ventricles of Brain.
-
What are some guidelines for formulating a compelling vision?
-
Beginning with a country that has a trade deficit, demonstrate graphically what will happen to a countrys potential output with globalization if that countrys costs of production fall. Explain your...
-
Calculate the first 10 partial sums of the series and graph both the sequence of terms and the sequence of partial sums on the same screen. Estimate the error in using the 10th partial sum to...
-
Calculate the first 10 partial sums of the series and graph both the sequence of terms and the sequence of partial sums on the same screen. Estimate the error in using the 10th partial sum to...
-
Show that the series ( 1)n 1bn, where bn = 1/n if n is odd and bn = 1/ n2if n is even, is divergent. Why does the Alternating Series Test not apply?
-
Prepare journal entries for the following transactions from Restaurant Depot Nov. 8 Customer Miles Shandy purchased 230 pans at $39 per par, costing Restaurant Depot $26 per pan. Terms of the sale...
-
NO Saved Help Save & Exit Submit Check my work 2 . 12 Required information Use the following information for the Exercises below. [The following information applies to the questions displayed below....
-
Hunter Company Hunter Company acquired a piece of land for $6,000,000 in late 2020 and held it all through 2023. Year-end fair value was determined as follows: 2020: $6.000,000 (unchanged from...
Study smarter with the SolutionInn App