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For x > 0 let f (x) = Hint: x ln(t) dt, 1 1+t Find the function f (x) + f (1/x) and show that f (e) + f (1/e) = 1/2. write f(x) and f(1/x) then use substitution to make their limits same.

For x > 0 let f (x) =
Hint:
x ln(t)
dt,
1 1+t
Find the function f (x) + f (1/x) and show that f (e) + f (1/e) = 1/2.
write f(x) and f(1/x) then use substitution to make their limits same.

Grade:12

1 Answers

Parvez ali
askIITians Faculty 47 Points
8 years ago

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Thanks & Regards
Parvez Ali
askIITians Faculty

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