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Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xin...

Let `f(x)=x^2+(1/x^2)` and `g(x)=x-1/x` `xinR-{-1,0,1}`. If `h(x)=(f(x)/g(x))` then the local minimum value of `h(x)` is: (1) 3 (2) `-3` (3) `-2sqrt(2)` (4) `2sqrt(2)`

A

`-3`

B

`-2 sqrt2`

C

`2 sqrt2`

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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