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Vijay posted an Question

March 10, 2021 • 13:38 pm

30 points

IIT JAM
Mathematics (MA)

Please send the solution to the problem given in the attachment.

please send the solution to the problem given in the attachment.

2 Answer(s)

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Swapnajit das

here, the limiting value does not tends to a particular value rather it oscillates highly in NBD of 0. so the limit does not exist .
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Piyush pachauri

No, Limit doesn't exist. See the graph it oscillates more in neighborhood of Zero.
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but in the nbd. of "0" its y values looks 👀 the same which I highlighted with the dots. what do you say about that??
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sin function cannot take value outside -1 and 1 so value here doesn't matter because it doesn't tend towards any thing. Go with epsilon delta definition of limit you will understand your misconception.
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Thank you, Piyush sir.
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Deepak singh 1

see ,
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see. by graph , there is oscillating at x=0
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but in the nbd. of "0" its y values looks 👀 the same which I highlighted with the dots. what do you say about that??
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when you zoom more , you get more rigorous oscillating . Displacement between two wave will become more smaller and smaller .
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you can check by graph of sinx also .
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ok Deepak sir!
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