Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) ∑ n − 1 ∞ 2.3.6 ⋯ 2 n 3.5.7 ⋯ ( 2 n + 1 ) x 2 n + 1
Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) ∑ n − 1 ∞ 2.3.6 ⋯ 2 n 3.5.7 ⋯ ( 2 n + 1 ) x 2 n + 1
Solution Summary: The author explains that the interval of convergence is [-1, 1].
Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)
∑
n
−
1
∞
2.3.6
⋯
2
n
3.5.7
⋯
(
2
n
+
1
)
x
2
n
+
1
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
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