What is infinity plus infinitesimal For example, LIM (x →∞) (1 / x + e ^ x). It can be seen from the graph that it is infinite, or it can also be known that it is infinite by taking in the number to calculate, but how to solve this problem, In addition, LIM (x → - ∞) (1 / x + e ^ x)

What is infinity plus infinitesimal For example, LIM (x →∞) (1 / x + e ^ x). It can be seen from the graph that it is infinite, or it can also be known that it is infinite by taking in the number to calculate, but how to solve this problem, In addition, LIM (x → - ∞) (1 / x + e ^ x)

Infinity plus infinitesimal is infinity
lim(x→+∞)(1/x+e^x)=+∞
lim(x→-∞)(1/x+e^x)=0