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If f and g are defined on [0, oo) by f(x...

If f and g are defined on `[0, oo)` by `f(x) = underset(n rarr oo)(lim) (x^(n)-1)/(x^(n)+1) and g(x) = int_(0)^(x) f(t) dt`. Then

A

g has local maximum at x=1

B

g has local minimum at x=1

C

g is an increasing function on `(0, oo)`

D

g is a decreasing function on `(0,oo)`

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The correct Answer is:
B
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