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Find the value of (1)/(1+x^(a-b))+(1)/(1...

Find the value of `(1)/(1+x^(a-b))+(1)/(1+x^(b-a))`

A

0

B

-1

C

1

D

`x^(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(1+x^(a-b))+(1)/(1+x^(-a))=(1)/(1+x^(a)/(x^b))+(1)/(1+x^(b)/(x^a))`
`=(x^b)/(x^b+x^(a))+(x^a)/(x^a+x^(b))=(x^b+x^a)/(x^b+x^(a))=1`
Hence , the correct option is (c).
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