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If the function f defined as f(x) = 1/x ...

If the function `f` defined as `f(x) = 1/x - (k-1)/(e^(2x)-1), x != 0,` is continuous at `x = 0,` then the ordered pair `(k, f(0))` is equal to :

A

(2,1)

B

(3,1)

C

(3,2)

D

(1/3,2)

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The correct Answer is:
B
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