Question

the value of 1/1+a^-n+1/1+a^n=​

Answer 1

Step-by-step explanation:

Given:-

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

To find:-

Find the value of 1/(1+a^-n) + 1/(1+a^n) ?

Solution:-

Given that

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

We know that

a^-n = 1/a^n

=> 1/[1+(1/a^n)] + 1/(1+a^n)

=> 1/[(a^n+1)/a^n] + [ 1/(1+a^n) ]

=> a^n /(a^+1) + 1/(a^n+1)

=> (a^n + 1)/(a^n + 1)

=> 1

Answer:-

The value of 1/(1+a^-n) + 1/(1+a^n) is 1

Used formula:-

• a^-n = 1/a^n