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Speak With a Friendly Mentor. ###### 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

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• ##### Alka gupta Best Answer

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

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

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

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

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

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

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

• ##### Deepak singh 1

Refer attached solution

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

why did you replace h with x?

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

& what is a?

a=0 here .

doubt

please tell me how a is defined?

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

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

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

accordingly a=1,right?

wait , I have done mistake..

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