Let $k\in \mathrm{ℝ}$. If $\lim _{x\to {0}^{+}}(\sin {(\sin kx)+\cos x+x)}^{2/x}={e}^{6}$, then the value of k is

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Let \(k\in \mathrm{ℝ}\). If \(\lim _{x\to {0}^{+}}(\sin {(\sin kx)+\cos x+x)}^{2/x}={e}^{6}\), then the value of k is