If 3x + 2y = 1 is a tangent to y = f(x) ...

If `3x + 2y = 1` is a tangent to y = f(x) at x = 1/2, then `lim_(x rarr 0) (x(x - 1))/(f((e^(2x))/(2)) - f((e^(-2x))/(2)))`

A

`1//3`

B

`1//2`

C

`1//6`

D

`1//7`

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The correct Answer is:

A

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