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: 71% (7 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+
753+ Reviews
1481+ 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...
-
Write a program loop, using a pointer and a counter, that dears i'o 0 the contents of hexadecimal locations 500 through 5FF. Write a program to multiply two positive numbers by a repeated addition...
-
To prevent weeds from growing in a clean earthen-lined canal, it is recommended that the velocity be no less than \(2.5 \mathrm{ft} / \mathrm{s}\). For the symmetrical canal shown in Fig. P10.66,...
-
The following events apply to The Ice Cream Parlor for the 2013 fiscal year: 1. The company started when it acquired $20,000 cash from the issue of common stock. 2. Purchased a new ice cream machine...
-
Describe the difference between an employee and an independent contractor, and when employers would make use of each form of legal relationship with people who perform work for them.
-
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...
-
For any real numbers p1,...., pn such that 0 ( pi ( 1, i =1, ...., n, show that For the left-hand side, use the inequality ex ( 1 + x, x ( (, and for the right-hand side employ the induction method?...
-
Give examples of process automation applications.
-
The triple constraints of project management do not include the constraint of: a. technical issues. b. time. c. cost. d. scope.
-
Which phase of the systems development life cycle would include describing in detail the desired features of the system? a. Analysis phase b. Design phase c. Planning phase d. Maintenance phase e....
-
Which of the following do not describe characteristics of enterprise IT? a. Enhance individual worker productivity b. Automate transaction processing c. Integrate processes d. Provide general...
-
Which is not an example of a batch total? a. Record count b. Financial total c. Hash total d. Exception total
-
Why are individuals motivated to accept international assignments? Which of these motivations would you rank as positive reasons? Which would you regard as negative reasons?
-
Using (1) or (2), find L(f) if f(t) if equals: t cos 4t
-
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?
-
It is Annie's birthday, and she received a new car for her birthday. The cost of the car, which is considered an asset, is $18,000. The car will depreciate over 20 years, with a Salvage value of...
-
How might advances in psychological research inform interventions aimed at bolstering empathetic skills in individuals across various contexts ?
-
Define each firm's returns to scale: 1. Q = K0.8 0.4 == 2. Q = min{2K,L}
Study smarter with the SolutionInn App