What is the Harmonic Series?
Cameron AlexanderThe harmonic series is the sum of the reciprocals of the positive integers. Mathematically, it is represented as:
1 + 1/2 + 1/3 + 1/4 + 1/5 + ...
The harmonic series diverges, meaning it grows indefinitely as more terms are added. This was proven by the mathematician Nicole Oresme in the 14th century. The divergence of the harmonic series is significant in various areas of mathematics and has implications in calculus, number theory, and other branches of mathematics.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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