prove that ![\sqrt[x]{x} ^{\sqrt[x]{x} ^{\sqrt[x]{x} ^{\sqrt[x]{x} .....} } }=x](https://tex.z-dn.net/?f=%5Csqrt%5Bx%5D%7Bx%7D+%5E%7B%5Csqrt%5Bx%5D%7Bx%7D+%5E%7B%5Csqrt%5Bx%5D%7Bx%7D+%5E%7B%5Csqrt%5Bx%5D%7Bx%7D+.....%7D+%7D+%7D%3Dx "\sqrt[x]{x} ^{\sqrt[x]{x} ^{\sqrt[x]{x} ^{\sqrt[x]{x} .....} } }=x")
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