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 ∞ ( − 1 ) n + 1 3.7.11 ⋯ ( 4 n − 1 ) ( x − 1 ) n 4 n
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 ∞ ( − 1 ) n + 1 3.7.11 ⋯ ( 4 n − 1 ) ( x − 1 ) n 4 n
Solution Summary: The author calculates the Interval of convergence of the power series.
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
∞
(
−
1
)
n
+
1
3.7.11
⋯
(
4
n
−
1
)
(
x
−
1
)
n
4
n
1. Given the vector field F(x, y, z) = -zi, verify the relation
1
VF(0,0,0) lim
+0+ volume inside S
ff F• Nds
S.
where S, is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
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