(1+1/3)(1+1/3的2次方)(1+1/3的4次方)……..(1+1/3的16次方)怎么解?

问题描述:

(1+1/3)(1+1/3的2次方)(1+1/3的4次方)……..(1+1/3的16次方)怎么解?

充分利用平方差公式原式=3/2*2/3*(1+1/3)(1+1/3的2次方)(1+1/3的4次方)……..(1+1/3的16次方)=3/2*(1-1/3)*(1+1/3)(1+1/3的2次方)(1+1/3的4次方)……..(1+1/3的16次方)=3/2*(1-1/3^2)(1+1/3^2)(1+1/3^4)……(1+1/3^1...