讨论f(x)=lim x趋向于无穷大时(x+(x的平方乘以e的xx次方))除以(1+(e的xx次方))的连续性
问题描述:
讨论f(x)=lim x趋向于无穷大时(x+(x的平方乘以e的xx次方))除以(1+(e的xx次方))的连续性
答
f(x)=lim(x→∞) [x+x²exp(x²)]/[1+exp(x²)]=x²
exp(x)即e^x
f(x)在x→∞时连续