Let f(x)= underset(n to 00) (Lt) (x^(2n)...

Let `f(x)= underset(n to 00) (Lt) (x^(2n)-1)/(x^(2n)+1)`, then

A

`f(x)=1"for" |x|=1 `

B

`f(x)={{:(1",", "for" |x| gt 1),(-1"m,", "for" |x| lt 1):}`

C

`f(x){{:(1",", "for" |x| gt 1),(-1"m,", "for" |x| le 1):}`

D

f is not defined for any value of 'x'

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The correct Answer is:

B

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