If p is a polynomial, show that |lim x a p(x) = p(a).

Question:

If p is a polynomial, show that |lim x→ a p(x) = p(a).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

See More Books

Question Posted: Jun 21, 2010 04:55 AM

See More Questions

If p is a polynomial, show that limx a P(x) = p(a).
If p is a prime, prove that in Zp[x], aEZy
If P is a triangular orthogonal matrix, show that P is diagonal and that all diagonal entries are 1 or -1.
Julia Robertson is a senior at Tech, and she's investigating different ways to finance her final year at school. She is considering leasing a food booth outside the Tech stadium at home football...
Justification for Analyzing Industry: Food Processing Focus Areas a- Health b- Cost/ Convenience c- Variety of Products d- Profits Campbell Soup Company
The following information is obtained from a sample data set. n = 10, x = 100, y = 220, xy = 3680, x2 = 1140 Find the estimated regression line.
Describe the theories under which the validity of consent might be proven.
Dossett Company had the following transactions pertaining to stock investments. Feb. 1 Purchased 600 shares of Goetz common stock (2%) for $6,000 cash, plus brokerage fees of $200. July 1 Received...
The following Turing Machine is supposedly a solution for BB(6): q4 1:1, R 1, R 1:1.L 1:1, L 10L q1 D1, R 0:1, L 92 93 1:0,L 95 R 90 Halt) a) What is a Busy Beaver? b) Do you believe that this is a...
In a regression of average wages (W) on the number of employees (N) for a random sample of 30 firms, the following regression results were obtained a. How would you interpret the two regressions? b....
In the theory of relativity, the Lorentz contraction formula L = L01 v2/c2 expresses the length L of an object as a function of its velocity v with respect to an observer, where L0 is the length of...
If r is a rational function, use Exercise 53 to show that lim x a r(x) = r(a) for every number a in the domain of r.
Write the complete ionic equation and the net ionic equation for the reaction that occurs between aqueous solutions of: (a) Silver nitrate and potassium iodide (b) Lithium sulfate and silver acetate
For the lone pair on each indicated nitrogen atom, describe it as localized or delocalized. HN NH2
The elementary reaction 2 HO(g) 2 H2(g) + O2(g) proceeds at a certain temperature until the partial pressures of HO, H2, and O2 reach 0.0150 atm, 0.00250 atm, and 0.00650 atm, respectively. What is...
At a certain temperature, the Kp for the decomposition of H2S is 0.755. HS(g) H2(g) + S(g) Initially, only H2S is present at a pressure of 0.270 atm in a closed container. What is the total pressure...
Carbon disulfide is prepared by heating sulfur and charcoal. The chemical equation is S2(g) + C(s) CS2(g) K = 9.40 at 900 K How many grams of CS2 (g) can be prepared by heating 17.2 mol S2(g) with...
Cadmium metal will not reduce zinc ions, but cadmium ions can oxidize manganese metal. Where must the reaction Cd(s) Cd2+ + 2e be located on your table of electrochemical activity?
Zeno, a Greek philosopher and mathematician, was famous for his paradoxes, one of which can be paraphrased as follows: A runner has a race of length $d$ to run. After an elapsed time interval...
How much more interest will be earned if $5000 is invested for 6 years at 7% compounded continuously, instead of at 7% compounded quarterly?
Calculate the number of simple degree-days in a day if the high temperature were 70F and the low temperature were 50F. a. For a base temperature of 65F. b. For a base temperature of 60F. c. For a...
Find the interval [a, b] for which the value of the integral is a maximum. (2 + x - x) dx
State both parts of the Fundamental Theorem of Calculus.
(a) State the Net Change Theorem. (b) If r(t) is the rate at which water flows into a reservoir, what does represent? r(t) dt
(i) When should a firm cut dividend pay out rate and increase retention rate to maximize share price? (ii) How can the dividend-discount model handle changing growth rates?
November 2021 (actual) December 2021 (budgeted) January 2022 (budgeted) Cash sales $ 80.000 Credit sales Total sales 240,000 $320,000 $100,000 360,000 $460,000 $ 60,000 180,000 $240,000 Management...
A firm has 200 shareholders, you among them. Each shareholder owns $20 worth of sto addition, Mr. Hostile owns 50 shares (for a firm total of 250 shares) and is trying to fi management. In an attempt...

If p is a polynomial, show that |lim x a p(x) = p(a).

Question:

Step by Step Answer:

Since px is a polynomial px ao ax ax anz ...View the full answer

Calculus Early Transcendentals

Students also viewed these Calculus questions