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Vijay posted an Question
April 12, 2021 • 11:14 am 30 points
  • IIT JAM
  • Mathematics (MA)

Send the solution to the problem given in the attachment

send the solution to the problem given in the attachment

2 Answer(s) Answer Now
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  • Alka gupta Best Answer

    correct ans is A,B.....see

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    but in the formula, we write h and not x. why did you write x instead of h?

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    We use h when we write Taylor expansion in nbd of point.....but when we change a+h by x then in remainder we get x in place of h

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    if possible, please show the difference on paper 📝.?

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    see..... similar solve for Lagrange remainder ...

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    nbd of a should be :(a-h,a+h)?

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    yes....but we consider either [a-h ,a] or [ a,a+h]

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    Deepak singh 1 best-answer

    Refer attached solution

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    all options are incorrect , because there is no factorial sign..

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    why did you replace h with x?

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    h=x-0=x h= length of interval and interval is (0,x)

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    & what is a?

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    a=0 here .

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    doubt

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    please tell me how a is defined?

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    we know logx is defined for x>0 , and also no interval is given in question . So we will take general interval (0,x).

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    if interval is (u,v) , then h=v-u and a=u.

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    In the question, we have log(1+x) so the interval will change accordingly, it will be (-1,x), right?

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    accordingly a=1,right?

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    wait , I have done mistake..

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