Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:

We can write this as:

If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:

Then we have the inequality

And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
Answer:
$1.69
Step-by-step explanation:
Half a dollar = $0.50
Eight dimes = $0.80
Six nickels = $0.30
Nine pennies = $0.09
Total = $0.50 + $0.80 + $0.30 + $0.09 = $1.69
Answer: The graph is attached.
Step-by-step explanation: The given functions whose graphs are to be compared are as follows:

In the attached figure, the graphs of both (A) and (B) are shown. We can easily see see from there, the shapes of both the graphs are same.
But, at x = 0, y = ∞ and at x = ∞, y = 0 in graph (A).
At x = 0, y = ∞ and at x = ∞, y = 6 in graph (B).
Thus, the comparison can be seen in the figure very clearly.
- <em><u>Answer:</u></em>
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Step-by-step explanation:
Answer:
The answer is 53
Step-by-step explanation:
What's half of 30 (15) then add them all up