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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Rudhreswaran G posted an Question
January 19, 2021 • 16:27 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Mathem uences of real numbers infinitely large sequences represent an important subset of unbounded sequences. definition : a sequence {a,} is called infinitely
Mathem uences of Real Numbers Infinitely large sequences represent an important subset of unbounded sequences. Definition : A sequence {a,} is called infinitely large if VK e R 3 n, e N such that la> K Vn2 n As an example, we show that the sequence {(-1)" n3} is infinitely large. Indeed, for any number K, we can find n, such that |(-1)" n°| > K Yn 2 n To this end, we solve the inequality n3> K, and n> K.t Let n = [VK] + 1, where [c] is the integer part of c. Then forn2 n, we obtain. n2n, >K n°>K -1" n°|>K. From above Definition it follows that any infinitely large sequence is unbounded. However, the converse is not true: there exist unbounded sequences that are not infinitely large. For example, such is the sequence {(1 - (-1")n}.
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Satpal singh
A sequence which is divergent or infinite oscillating sometimes called infinitely large sequence, in other words an unbounded sequence is infinitely large
if it is infinitely small sequence means
there is no term like this u said
basically u need to know about bounded and unbounded sequence
ok thank you
leave other definitions
these r not important from exam point of view
ok
can you explain me the limit of the point
limit of point ?? it is limit point