Use Theorems 14 to show that the function is continuous. f (x) = 3x + 4 sin
Question:
Use Theorems 1–4 to show that the function is continuous.
f (x) = 3x + 4 sin x
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: 100% (2 reviews)
The polynomial function 3x is continuous by Theorem 2 and the trigonometric ...View the full answer
Answered By
Zablon Gicharu
I am an educator who possesses the requisite skills and knowledge due to interacting with students for an extended period. I provide solutions to various problems in step-by-step explanations, a well-thought approach and an understandable breakdown. My goal is to impart more straightforward methodologies and understanding to students for more remarkable achievements.
5.00+
4+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use Theorems 14 to show that the function is continuous. (x) = x + sin x THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous at x =...
-
Use the Laws of Continuity and Theorems 2 and 3 to show that the function is continuous. 7. f(x) = x + sin x 9. f(x) = 3x + sin x 11. f(x) = 1 / x2 + 1
-
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...
-
Which of the theoretical approaches are the most useful in explaining your organisations current IHRM policies and practices?
-
A management professor once said that for successful management, studying the present was most important, studying the past was next, and studying the future was least important. Do you agree? Why?
-
Rework Problem 4.10 if the phase spacing is (a) increased by \(20 \%\) to \(4.8 \mathrm{ft}\) or (b) decreased by \(20 \%\) to \(3.2 \mathrm{ft}\). Compare the results with those of Problem 4.10....
-
Using information from Exercise 22, create an alphabetized listing by Interface ID that describes the interactions that occur across each interface by identifier. Exercise 22 Create an N2 Diagram for...
-
Pechstein Corporation issued 2,000 shares of $10 par value common stock upon conversion of 1,000 shares of $50 par value preferred stock. The preferred stock was originally issued at $60 per share....
-
Analyzing the shape of the curve and what it means for the future short-term rates according to the liquidity premium theory. Additionally, state the implications of the particular shape you are...
-
Evaluate the limit using the Basic Limit Laws and the limits lim x(x + 1)(x + 2) x2
-
Evaluate the limit using the Basic Limit Laws and the limits 1 +1 lim 11 (1 + 2)(t4 + 1)
-
Why dont permanent lenders usually provide construction loans to developers? Do construction lenders ever provide permanent loans to developers?
-
Suppose you have a circuit in which you have connected 2 batteries, each of which that has voltage of 2.8V, in series with each other such that the positive terminal of one battery is connected to...
-
Consider the following equivalent expressions: 3 133 and and 3/13 20 Enter the value of a followed by the value of b, separated by a comma. What are the values of a and b?
-
Simplify /45xy to the form a . V
-
concider a lithium - ion battery ( battery A ) that deliver's an energy of ( 5 0 wh ) . What is the Voltage al which the battery shoull be maintained duing the difctonge if it has a capacity of 2 5...
-
Factor by grouping. 5v +7v - 10v-14 6
-
Vending machines reject coins based on weight. Refer to Data Set 21 in Appendix B and use a 0.05 significance level to test the claim that the mean weight of pre-1964 quarters is equal to the mean...
-
Determine two different Hamilton circuits in each of the following graphs. A B F G
-
The all-American baseball is made using cork from Portugal, rubber from Malaysia, yarn from Australia, and leather from France, and it is stitched (108 stitches exactly) by workers in Costa Rica. To...
-
Californias State Board of Equalization imposed a higher tax on alcopops, flavored beers containing more than 0.5% alcohol-based flavorings, such as vanilla extract (Guy L. Smith, On Regulation of...
-
What types of firms would not normally maximize profit?
-
The cash balance per books for Wellmeyer Company on November 30, 2010, is $10,740.93. The following checks and receipts were recorded for the month of December 2010: Checks Receipts No. Amount No....
-
Nieman Company purchased merchandise on account from Springhill Company for $10,200, terms 2/10, n/30. Nieman returned merchandise with an invoice amount of $1,600 and received full credit. a. If...
-
The Sandhill Store had a beginning inventory on January 1 of 290 full-size strollers at a cost of $210 per unit. During the year, the following purchases were made: Unit Units Cost Mar. 15 78 $211...
Study smarter with the SolutionInn App