求极限underset(lim)(x→0)(((a)^x+(b)^x+(c)^x)/(3)){}^(1)/(x)(a>0,b>0,c>0)

求极限$\underset{lim}{x→0}$($\frac{{a}^{x}+{b}^{x}+{c}^{x}}{3}$)${}^{\frac{1}{x}}$(a>0,b>0,c>0)

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