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Question

`(1)/(1 + a^((n -m)))+ (1)/(1 + a^((m - n)))` = ?


Options:
A .  0
B .  `1/2`
C .  1
D .  `a^(m + n)`
Answer: Option C

`(1)/(1 + a^((n -m)))+ (1)/(1 + a^((m - n)))`  = `(1)/((1 + a^n/a^m))+ (1)/((1 + a^m/a^n))`

=`(a^m)/((a^m + a^n)) + (a^n)/((a^m + a^n))`    = `((a^m + a^n))/((a^m + a^n))` =  1.




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