If \(a, b, c\) and \(d\) are positive, then \(\begin{matrix} \lim \ x\rightarrow \infty \end{matrix}\left(1+\dfrac{1}{a+bx}\right)^{c+dx}\) is equal

1
\(e^{d/b}\)
2
\(e^{c/d}\)
3
\(e^{(c+d)/(a+b)}\)
4
\(e\)

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