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Harsh posted an Question
October 20, 2020 • 06:25 am 30 points
  • IIT JAM
  • Mathematics (MA)

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  • Shashi ranjan sinha

    see the attachment

    cropped5176832026350676681.jpg
    cropped9212055252737435278.jpg
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    I think it's limit will not exist because when x is 1+ than {x} tends to 0 and when x is 1- ,{x} tends to 1 then how could it's limit exist

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    see the updated answer...let me know that whether you r satisfied with this answer or not...we will discuss

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    when x is 1- {x} will tends to 1 but you have written as 0 how it's possible

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    Yes harsh ... you are absolutely right... I did mistake in fractional part of x...when x tends to 1-, then x is almost near to 1 but strictly less than 1...so it's fractional part will be itself, that is x.... for example, fractional part of 0.999 is 0.999 itself.... so using that, the LHL is coming out to be 1/e which is not equal to RHL, so limit doesn't exist

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