 128.Q1: The radius of convergence of a power series can be found using the ...
 128.Q2: A geometric series converges if and only if ?
 128.Q3: The Maclaurin series for cos x converges for what values of x?
 128.Q4: The Taylor series for ln x expanded about x = 1 has what radius of ...
 128.Q5: Write the first four nonzero terms of the Maclaurin series for tan1 x
 128.Q6: Sketch a partial sum of the Maclaurin series for sine compared with...
 128.Q7: Evaluate the integral: secx dx
 128.Q8: Differentiate: y = tan x
 128.Q9: Evaluate the integral: sec2x dx
 128.Q10: Which two people are credited with having invented calculus?
 128.1: For 14, a. Find the indicated partial sum. b. Use the Lagrange form...
 128.2: For 14, a. Find the indicated partial sum. b. Use the Lagrange form...
 128.3: For 14, a. Find the indicated partial sum. b. Use the Lagrange form...
 128.4: For 14, a. Find the indicated partial sum. b. Use the Lagrange form...
 128.5: For 58, use the Lagrange form of the remainder to find the number o...
 128.6: For 58, use the Lagrange form of the remainder to find the number o...
 128.7: For 58, use the Lagrange form of the remainder to find the number o...
 128.8: For 58, use the Lagrange form of the remainder to find the number o...
 128.9: For 910, calculate the value of c in the appropriate interval for w...
 128.10: For 910, calculate the value of c in the appropriate interval for w...
 128.11: For 1112, show that the hypotheses of the alternating series test a...
 128.12: For 1112, show that the hypotheses of the alternating series test a...
 128.13: pSeries 1: For the convergent pseries with p = 3, a. Find S10. Fi...
 128.14: pSeries 2: For the convergent pseries with p = 1.05, a. Find S100...
 128.15: Integral Bound Problem: Given the series a. Find the 11th partial s...
 128.16: pSeries 3: The series is a pseries. Explain why the method of is ...
 128.17: Geometric Series as an Upper Bound Problem: In Example 1 of this se...
 128.18: Values of ex from Values of ex Problem: You can calculate the value...
 128.19: Sin x for Any Argument Using a Value of x in [0, /4] Problem: The M...
 128.20: The National Bureau of Standards Handbook of Mathematical Functions...
 128.21: Derivation of the Lagrange Form of the Remainder: Earlier in this s...
 128.22: A Pathological Function: Figure 128d shows the function Function f...
 128.23: The Maclaurin Series for ex Converges to ex : shows that a Maclauri...
Solutions for Chapter 128: Error Analysis for SeriesThe Lagrange Error Bound
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 128: Error Analysis for SeriesThe Lagrange Error Bound
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. Chapter 128: Error Analysis for SeriesThe Lagrange Error Bound includes 33 full stepbystep solutions. Since 33 problems in chapter 128: Error Analysis for SeriesThe Lagrange Error Bound have been answered, more than 19248 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2.

Chord of a conic
A line segment with endpoints on the conic

Compound fraction
A fractional expression in which the numerator or denominator may contain fractions

Coordinate plane
See Cartesian coordinate system.

Direction angle of a vector
The angle that the vector makes with the positive xaxis

Doubleangle identity
An identity involving a trigonometric function of 2u

Fibonacci numbers
The terms of the Fibonacci sequence.

Hypotenuse
Side opposite the right angle in a right triangle.

Imaginary unit
The complex number.

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Probability function
A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

Quadrantal angle
An angle in standard position whose terminal side lies on an axis.

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

System
A set of equations or inequalities.

Venn diagram
A visualization of the relationships among events within a sample space.

Zero factorial
See n factorial.