Quiz: Series
[tex]1+\dfrac{1}{2} +\dfrac{1}{3} +\dfrac{1}{4} +\dfrac{1}{5} +\dfrac{1}{6} +\dfrac{1}{7} +...[/tex]
If we add the unit fractions, which numerator is 1, infinitely many times, does the result end in a number or infinity?
Please add your quality answer. Thanks for answering.
[tex]1+\dfrac{1}{2} +\dfrac{1}{3} +\dfrac{1}{4} +\dfrac{1}{5} +\dfrac{1}{6} +\dfrac{1}{7} +...[/tex]
If we add the unit fractions, which numerator is 1, infinitely many times, does the result end in a number or infinity?
Please add your quality answer. Thanks for answering.
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Answer:
If your question is in the MCQ format it is :
If we add the unit fractions infinitely many times , what does the result end in ?
The answer should be a number .
Step-by-step explanation:
The mathematical concept of infinity states that it has a unique value . It is a constant but undefined in terms of measure ; it generally refers to number extremely large for calculations . Anything that is not infinity is finite and hence countable . Finite numbers have got numerals for their representation but infinity can be any unique number within any range . Therefore it can be a variable too but as constants amd variables have a value , whether fixed or not , the value of infinity , unlike theirs , is undefined .
If this concept is put in equations involving finite numbers , the result would still be infinity
Example — ∞ + 12 = ?
The result is undefined , as anything added to undefined is larger than the given undefined value yet still undefined .
The same holds true with all other operations with infinity .
The terms of this question are all finite so the answer cannot be infinity . ♾️
Answer:
The mathematical concept of infinity states that it has a unique value. It is a constant but undefined in terms of measure ; it generally refers to number extremely large for calculations.
Anything that is not infinity is finite and hence countable. Finite numbers have got numerals for their representation but infinity can be any unique number within any range. Therefore it can be a variable too but as constants amd variables have a value, whether fixed or not, the value of infinity , unlike theirs, is undefined.
Example – o + 12 = ?
The result is undefined, as anything added to undefined is larger than the given undefined value yet still undefined.
The same holds true with all other
operations with infinity.
The terms of this question are all finite so the answer cannot be infinity.
Step-by-step explanation:
hope it helps