 11.8.1: What is a power series?
 11.8.2: (a) What is the radius of convergence of a power series? How do you...
 11.8.3: 328 Find the radius of convergence and interval of convergence of t...
 11.8.4: 328 Find the radius of convergence and interval of convergence of t...
 11.8.5: 328 Find the radius of convergence and interval of convergence of t...
 11.8.6: 328 Find the radius of convergence and interval of convergence of t...
 11.8.7: 328 Find the radius of convergence and interval of convergence of t...
 11.8.8: 328 Find the radius of convergence and interval of convergence of t...
 11.8.9: 328 Find the radius of convergence and interval of convergence of t...
 11.8.10: 328 Find the radius of convergence and interval of convergence of t...
 11.8.11: 328 Find the radius of convergence and interval of convergence of t...
 11.8.12: 328 Find the radius of convergence and interval of convergence of t...
 11.8.13: 328 Find the radius of convergence and interval of convergence of t...
 11.8.14: 328 Find the radius of convergence and interval of convergence of t...
 11.8.15: 328 Find the radius of convergence and interval of convergence of t...
 11.8.16: 328 Find the radius of convergence and interval of convergence of t...
 11.8.17: 328 Find the radius of convergence and interval of convergence of t...
 11.8.18: 328 Find the radius of convergence and interval of convergence of t...
 11.8.19: 328 Find the radius of convergence and interval of convergence of t...
 11.8.20: 328 Find the radius of convergence and interval of convergence of t...
 11.8.21: 328 Find the radius of convergence and interval of convergence of t...
 11.8.22: 328 Find the radius of convergence and interval of convergence of t...
 11.8.23: 328 Find the radius of convergence and interval of convergence of t...
 11.8.24: 328 Find the radius of convergence and interval of convergence of t...
 11.8.25: 328 Find the radius of convergence and interval of convergence of t...
 11.8.26: 328 Find the radius of convergence and interval of convergence of t...
 11.8.27: 328 Find the radius of convergence and interval of convergence of t...
 11.8.28: 328 Find the radius of convergence and interval of convergence of t...
 11.8.29: If o` n0 cn 4n is convergent, can we conclude that each of the foll...
 11.8.30: Suppose that o` n0 cn x n converges when x 24 and diverges when x 6...
 11.8.31: If k is a positive integer, find the radius of convergence of the s...
 11.8.32: Let p and q be real numbers with p , q. Find a power series whose i...
 11.8.33: Is it possible to find a power series whose interval of convergence...
 11.8.34: Graph the first several partial sums snsxd of the series o` n0 x n ...
 11.8.35: The function J1 defined by J1sxd o ` n0 s21d n x 2n11 n!sn 1 1d!22n...
 11.8.36: The function A defined by Asxd 1 1 x 3 2 3 1 x 6 2 3 5 6 1 x 9 2 3 ...
 11.8.37: A function f is defined by fsxd 1 1 2x 1 x 2 1 2x 3 1 x 4 1 that is...
 11.8.38: If fsxd o` n0 cn x n , where cn14 cn for all n > 0, find the interv...
 11.8.39: Show that if limn l ` s n  cn  c, where c 0, then the radius of c...
 11.8.40: Suppose that the power series o cns x 2 ad n satisfies cn 0 for all...
 11.8.41: Suppose the series o cn x n has radius of convergence 2 and the ser...
 11.8.42: Suppose that the radius of convergence of the power series o cn x n...
Solutions for Chapter 11.8: Power Series
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 11.8: Power Series
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Addition principle of probability.
P(A or B) = P(A) + P(B)  P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Binomial coefficients
The numbers in Pascalâ€™s triangle: nCr = anrb = n!r!1n  r2!

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Categorical variable
In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

Circle
A set of points in a plane equally distant from a fixed point called the center

Convergence of a sequence
A sequence {an} converges to a if limn: q an = a

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

DMS measure
The measure of an angle in degrees, minutes, and seconds

Empty set
A set with no elements

Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.

Inverse variation
See Power function.

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

Negative numbers
Real numbers shown to the left of the origin on a number line.

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Solve a triangle
To find one or more unknown sides or angles of a triangle

Symmetric about the origin
A graph in which (x, y) is on the the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Union of two sets A and B
The set of all elements that belong to A or B or both.