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Discuss the continuity of f(x)=(lim)(n->...

Discuss the continuity of `f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)`

A

`f(x)={(1,|x|gt1,),(-1,|x|gt1,):}`

B

`f(x)={(1,|x|lt1,),(-1,|x|gt1,):}`

C

`f(x)` is not defined for any value of x

D

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

Text Solution

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The correct Answer is:
A
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