Please explain how g through j are done. Thank you.

f (n) g(n) (g) If f(n) E O(n) and g(n) E O(n), then lim, (1). f(m) (1). g(n) (h) If f(n) E O(n) and g(n) E (n), then lim, E O(1). n f (n) g(n) (i) If f(n) E O(n) and g(n) E O(n), then lim, (1 ) . (j) f(n)+ g(n) E O(max f(n), g(n))