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rohan03
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i have deleted the question as it appeared no one would answer it
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A null sequence is a sequence of numbers that approaches a limit of zero as the number of terms in the sequence approaches infinity. In other words, the terms in a null sequence get closer and closer to zero, but never actually reach it.
To determine if a sequence is null, you must first find the limit of the sequence as the number of terms approaches infinity. If the limit is equal to zero, then the sequence is null. You can also check if the terms in the sequence get closer and closer to zero as the sequence progresses.
A null sequence is a specific type of convergent sequence where the limit of the sequence is equal to zero. A convergent sequence can have a limit of any real number, while a null sequence can only have a limit of zero.
Yes, a null sequence can have negative terms. As long as the terms in the sequence get closer and closer to zero as the number of terms approaches infinity, the sequence can be considered null.
Null sequences are important in mathematics because they are used to define the concept of convergence, which is essential in many areas of mathematics. They also play a crucial role in the study of limits and continuity, and are used in the definitions of important mathematical concepts such as derivatives and integrals.