Who was the first to prove the divergence of the harmonic series?
Series | Proof That the Harmonic Series Diverges

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Science, Mathematics
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Nicole Oresme
Leonhard Euler
Isaac Newton
Carl Gauss
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the basic form of the harmonic series?
1 + 2 + 3 + 4 + ...
1 + 1/4 + 1/9 + 1/16 + ...
1 + 1/2 + 1/3 + 1/4 + ...
1 + 1/3 + 1/5 + 1/7 + ...
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the terms grouped in the proof of the harmonic series' divergence?
In groups of five
In groups of ten
In groups of two, four, eight, etc.
In groups of three
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the second series used in the comparison smaller than the harmonic series?
It converges
It starts with a smaller number
Its terms are either equal or smaller
It has fewer terms
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the harmonic series when multiplied by a constant?
It becomes finite
It becomes zero
It converges
It remains divergent
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the harmonic series in mathematical tests?
It is used to calculate limits
It is used to prove convergence
It is used in probability theory
It is used in the direct comparison test
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the condition for the constant in the general form of the harmonic series?
It must be less than one
It must be an integer
It can be any number
It must be positive
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