Evaluate the limit, easy for experienced

lim x -> ∞; 5e^-x + 2 / 2e^-x + 5

Steps preferred. Thanks in advance.

lim(x->∞) (5e^(-x) + 2) / (2e^(-x) + 5)

lim(x->∞) ((5/e^x) + 2) / ((2/e^x) + 5)

(0 + 2) / (0 + 5)

2/5