If x= $1+\sqrt{2}+\sqrt{3}$ then the value of $\left(x+\frac{1}{x-1}\right)$ is

If x= $1+\sqrt{2}+\sqrt{3}$ then the value of $\left(x+\frac{1}{x-1}\right)$ is
1). $1+2\sqrt{3}$
2). $2+\sqrt{3}$
3). $3+\sqrt{2}$
4). $2\sqrt{3}-1$

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