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# Solutions for Chapter 11.1: INFINITE SEQUENCES AND SERIES ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Solutions for Chapter 11.1: INFINITE SEQUENCES AND SERIES

Solutions for Chapter 11.1
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##### ISBN: 9780538497879

Chapter 11.1: INFINITE SEQUENCES AND SERIES includes 93 full step-by-step solutions. Since 93 problems in chapter 11.1: INFINITE SEQUENCES AND SERIES have been answered, more than 23712 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook

If u = v and w = z , then u + w = v + z

• Common difference

See Arithmetic sequence.

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Division

a b = aa 1 b b, b Z 0

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Inverse sine function

The function y = sin-1 x

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Multiplication property of equality

If u = v and w = z, then uw = vz

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Semimajor axis

The distance from the center to a vertex of an ellipse.

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Tangent

The function y = tan x

• Triangular number

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

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• x-intercept

A point that lies on both the graph and the x-axis,.

• Xscl

The scale of the tick marks on the x-axis in a viewing window.

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