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Unbounded Interval শব্দের বাংলা অর্থ: অসীম ব্যবধান
Unbounded Interval Meaning In Bengali অসীম ব্যবধান
Unbounded Interval
Definition
1) In mathematics, an unbounded interval is a set of real numbers that extends infinitely in both directions along the number line. For example, the interval (-∞, ∞) includes all real numbers.
2) An unbounded interval can also refer to a set of numbers that includes all values greater than a certain number or all values less than a certain number. For instance, the interval (3, ∞) includes all real numbers greater than 3.
3) In calculus and analysis, unbounded intervals are used to describe the behavior of functions that do not have a finite limit as the input approaches a specific value. These intervals are essential in understanding the behavior of functions near points of discontinuity or divergence.
Examples
Unbounded Interval Example in a sentence
1) The function is continuous on the unbounded interval (0, ∞).
2) The unbounded interval (-∞, 5) describes all real numbers less than 5.
3) We need to find the maximum of the function over the unbounded interval (0, ∞).
4) The unbounded interval (2, ∞) represents all numbers greater than 2.
5) The solution set lies within the unbounded interval (-∞, 10).
6) The graph of the function extends indefinitely to the right in the unbounded interval (0, ∞).
7) The unbounded interval (-∞, -3) covers all real numbers less than -3.
8) The unbounded interval (-∞, ∞) encompasses the entire real number line.
9) The function is undefined at both ends of the unbounded interval (a, ∞).
10) The unbounded interval (-∞, ∞) is infinite in both directions.
Part of Speech
Unbounded Interval (Noun)
Synonyms
Encyclopedia
In mathematics, an unbounded interval is a set of real numbers that extends infinitely in both directions along the number line. For example, the interval (-∞, ∞) includes all real numbers.
An unbounded interval can also refer to a set of numbers that includes all values greater than a certain number or all values less than a certain number. For instance, the interval (3, ∞) includes all real numbers greater than 3.
In calculus and analysis, unbounded intervals are used to describe the behavior of functions that do not have a finite limit as the input approaches a specific value. These intervals are essential in understanding the behavior of functions near points of discontinuity or divergence.
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