Give proofs of the following theorems. a. for any constant c. b. for any constant a. |
Question:
Give proofs of the following theorems.
a. for any constant c.
b. for any constant a.
Transcribed Image Text:
| lim c = c х—а lim x = a х—а
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
a Let 0 be given It wont end up mattering what is so let 1 Not...View the full answer
Answered By
Kalyan M. Ranwa
I have more than seven years of teaching experience in physics and mechanical engineering.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Show that if y1 (t) and y2 (t) are solutions of y' + p(t)y = 0 then so are y1 (t) + y2(t) and cy1 (t) for any constant c.
-
The following data give the observed frequencies of errors per page of unread page proofs for a sample of 40 pages from a certain journal publisher. Errors/ Page Observed Frequencies 0.. 5 1.. 9 2.....
-
Determine the following limits and state which theorems are used in each case. (You may wish to use Exercise 15 below.) (a) (b) (c) (d) 2x +1 1 im lim(x>0) im r >0 lim-xr-_ (x > 0). lim(x>0
-
A ball is located 8 0 m above the sea level. Its initial velocity is 1 0 0 m/s and the angle between the horizontal is 37 degrees. How long will it take for the ball to hit the surface? g=9.8m/s 2
-
In 2012, Tim Hortons Inc. reported net sales of $2,226 million, profit of $403 million, and average total assets of $2,244 million. In 2011, its net sales were $2,012 million, profit was $383...
-
The APV model uses the unlevered cost of equity, r sU , to discount cash flows while the corporate valuation model uses the WACC. Explain why the two models use different discount rates.
-
Suppose that Morningside Nursing Home, a not-for-profit corporation, is estimating its corporate cost of capital. Its tax-exempt debt currently requires an interest rate of 6.2 percent, and its...
-
For Road Patch Company, labor is the highest single expense, totaling $693,000 for 75,000 hours of work last year. Overhead costs for last year were $900,000 and were applied to specific jobs on the...
-
How can you easily identify any items with negative balances at a prospective closing date?
-
Carlsbad Corporations sales are expected to increase from $5 million in 2018 to $6 million in 2019, or by 20%. Its assets totaled $3 million at the end of 2018.Carlsbad is at full capacity, so its...
-
Suppose Prove that where c is a constant. lim f(x) = L. - a lim [cf(x)] = cL,
-
If f(x) = mx + b, then for constants m 0 and b (the case m = 0). For a given > 0, let = /|m|.) Explain why this result implies that linear functions are continuous. + b lim f(x)
-
The circuit of Fig. 4.46c is to be used as a band-gap reference. If the op amp is ideal, its differential input voltage and current are both zero and V OUT = (V BE1 + I 1 R 1 ) = (V BE1 + I 2 R 2 ) V...
-
1. Daniel Simmons arrived at the following tax information: Gross salary: $62,250 Dividend income $140 Itemized deductions: $7,000 Interest earnings $75 One personal exemption $4050 Adjustments to...
-
This question refers to the following recurrence relation. 0. 9 T(n) = - {km ~ 2) + m n = 0 n = 1 8 n 2 [3 marks] The closed form solution to this recurrence relation is 1 T(n) ===n (n + 2), n 0....
-
What is the current flowing through the battery in the following circuit containing three identical resistors, each of resistance 42? Solution: 12V R 40 R2 40 R3 492
-
Explain the differences in securing desktop operating systems versus mobile operating systems. How does this affect your strategy of building an application for desktop operating systems and mobile...
-
Broussard Skateboard's sales are expected to increase by 25% from $9.0 million in 2016 to $11.25 million in 2017. Its assets totaled $5 million at the end of 2016. Broussard is already at full...
-
Table 18 gives the probability distribution of the random variable X. (a) Draw the histogram for X. (b) Find Pr (X = 2 or 3) (c) Find the probability that X is at least 2. (d) Find the probability...
-
In Problem use geometric formulas to find the unsigned area between the graph of y = f(x) and the x axis over the indicated interval. f(x) = x + 5; [0, 4]
-
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. f (x) = 1/x, 1 < x < 3
-
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. f (x) = sin x, 0 < x < /2
-
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. 2x + 1 if 0
-
1. Develop a definition for the Triple C model of project management. 2. List some of the factors that can impede the flow of information for project planning purposes. How can these factors be...
-
The Meat Mart has $900,000 in net income. The firm has 200,000 shares of stock outstanding. The market price per share is $76. What is the PE (price to earnings) ratio?
-
Cost of Goods Manufactured for a Manufacturing Company The following information is available for Fuller Manufacturing Company for the month ending January 31: Cost of direct materials used in...
Study smarter with the SolutionInn App