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f(x)=Lim(x->oo)(x^(2n)-1)/(x^(2n)+1)...

`f(x)=Lim_(x->oo)(x^(2n)-1)/(x^(2n)+1)`

A

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

B

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

C

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

D

f is not defined for any value of x

Text Solution

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The correct Answer is:
B
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