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Answer :
Final answer:
In mathematics, 'lim _n rightarrow infty a_n' refers to the limit a sequence 'a_n' approaches as n tends to infinity. 'lim _n rightarrow infty a_n=6' means the terms of the sequence are approaching 6 as n tends towards infinity.
Explanation:
The given student question pertains to limits in mathematics. The limitation of a sequence, denoted as lim _n rightarrow infty a_n, refers to the value that the members of a sequence 'a_n' approach as n (the index or term number) tends to infinity. While the phrase lim _n rightarrow infty a_n=6, signifies that the limit of the sequence as n approaches infinity equals 6.
We may interpret it as that the sequence's terms are nearing 6 as n increases indefinitely. The use of infinity in limits is directly connected with the concept of an infinite series, where we take an infinite number of steps, as mentioned in the reference information.
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