If f(t)= t/(e^t -1) + t/2 +1,prove that f(t) is an evanfuntion.

Elianna Lawrence

Elianna Lawrence

Answered question

2022-07-25

If f ( t ) = t / ( e t 1 ) + t / 2 + 1 ,prove that f(t) is an evanfuntion.

Answer & Explanation

abortargy

abortargy

Beginner2022-07-26Added 19 answers

f(t)=f(-t)
t / ( e t 1 ) + t / 2 + 1 = t / ( e t 1 ) t / 2 + 1
t / ( e t 1 ) + t / ( e t 1 ) = t
t [ 1 / ( e t 1 ) + 1 / ( e t 1 ) ] = t
t [ 1 / ( e t 1 ) e t / ( e t 1 ) ] = t
-t =-t
hence f(t) is an evenfunction.

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