The value of limit: $\lim _{x\to 0}(\csc x)\left(\sqrt{2{\cos }^{2}x+3\cos x}-\sqrt{{\cos }^{2}x+\sin x+4}\right)\text{ is }$

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The value of limit: \(\lim _{x\to 0}(\csc x)\left(\sqrt{2{\cos }^{2}x+3\cos x}-\sqrt{{\cos }^{2}x+\sin x+4}\right)\text{…