Hi. I need help in this problem. If someone could help that will be very nice. Sorry but I don't know how to write math equations on a forum post.
Any help would be nice. Thanks
1. Knowing that f and g are two functions and:
lim f(x)= +oo (+infinite) and lim g(x)=0
(a) Show that choosing conveniently the functions f and g and defining h=f*g we can have the follow situations:
(i) lim h(x) = +oo
(ii) lim h(x) = -oo
(iii) lim h(x) = 0
(iv) lim h(x) = 5
(v) lim h(x) = -5
(vi) lim h(x) do not exist , without being +oo or -oo
Note: The point a € R is a generic point.