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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
L.sufiya Khanam posted an Question
November 21, 2020 • 15:47 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Let a, = (n + 1)e for n 2 1. then the sequence (a,), is (a) unbounded (c) bounded and converges to i 35. (b) bounded but does not converge (d) bounded and conv
Let a, = (n + 1)e for n 2 1. Then the sequence (a,), is (a) unbounded (c) bounded and converges to I 35. (b) bounded but does not converge (d) bounded and converges to 0
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Deepak singh 1![best-answer]()
Refer attached solution option d is correct if any doubt then reply .
exponential grow faster than any polynomial so haw limit is zero sir?
wait .. let me give you a explanation
see , an is (infinity /infinity ) form , so use l hopital rule . Do it again and again , now since numerator is polynomial function of degree 100 it will vanished after doing about 100 times derivatives but in denominator , there is exponential function whose derivatives are always exponential , it will never vanished even after doing derivative infinite times . So liman = 0
feel free to ask again