What is 0.0003124 in scientific notation?
2 answers:
Answer:
3.124*
Step-by-step explanation:
In order to find the scientific notation of a number, you must move the decimal point to the right of the first significant (not 0) number. In this problem, you have to move the decimal 4 points to the right, which means that you would multiply the resulting number by ten to the negative fourth. If you were to move the decimal four points to the left, you would multiply the resulting number by ten to the fourth instead.
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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.