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Vijay posted an Question

April 12, 2021 • 16:44 pm

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)

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A
Alka gupta Best Answer

correct ans is A,B.....see
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- Reply(6)
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

Refer attached solution
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- Reply(12)
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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