Use a graphing utility to generate the graph of the equation y = 2 x + 3 x 1 / x , and then use the graph to make a conjecture about the limit of the sequence 2 n + 3 n 1 / n n = 1 + ∞ (b) Confirm your conjecture by calculating the limit. a n − L = 1 / n − 0 < ∈ When n ≥ N . In each part, find the smallest possible value of N for the given value of ∈ . a ∈ = 0.5 b ∈ = 0.1 c ∈ = 0.001
Use a graphing utility to generate the graph of the equation y = 2 x + 3 x 1 / x , and then use the graph to make a conjecture about the limit of the sequence 2 n + 3 n 1 / n n = 1 + ∞ (b) Confirm your conjecture by calculating the limit. a n − L = 1 / n − 0 < ∈ When n ≥ N . In each part, find the smallest possible value of N for the given value of ∈ . a ∈ = 0.5 b ∈ = 0.1 c ∈ = 0.001
Use a graphing utility to generate the graph of the equation
y
=
2
x
+
3
x
1
/
x
,
and then use the graph to make a conjecture about the limit of the sequence
2
n
+
3
n
1
/
n
n
=
1
+
∞
(b) Confirm your conjecture by calculating the limit.
a
n
−
L
=
1
/
n
−
0
<
∈
When
n
≥
N
.
In each part, find the smallest possible value of N for the given value of
∈
.
Precalculus: Mathematics for Calculus (Standalone Book)
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