1/(1 + a(n - m)) +1/ (1 + a(m

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

A 0

B 1/2

C 1

D am + n

Correct Answer: Option C

1/(1+a(n-m))+ 1/(1+a(m-n))

= 1/{1+(an/am)} + 1/{1 + (am/an)}

={am/(am + an)} +{(an/(am + an)}

= (am + an)/ (am + an)

= 1.