作业帮求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,
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求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,
求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,
求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,
lim(n→∞)[1-(-1/2)^n]/[1-(-1/2)]=1/(1+1/2)=2/3
lim(n→∞)[1-(-1/2)^n]/[1-(-1/2)]=1/(1+1/2)=2/3