x趋向于无穷大求极限,((2^x+3^x)/2)^

x趋向于无穷大求极限,((2^x+3^x)/2)^(1/x)

2个回答

解:原式=lim(x->∞){3[((2/3)^x+1)/2]^(1/x)}
=3*lim(x->∞){[((2/3)^x+1)/2]^(1/x)}
=3*[((0+1)/2)^(0)]
=3*1
=3