Question

if lim g(x) tends to 0 and lim f(x)/g(x) also tends to 0 what can you say about f(x) ?

Answer 1

it tends to zero as well. other wise limit would be undefined

Answer 2

can you prove its constantly equal to 0 ?

Answer 3

oh no

Answer 4

i didn't say it was a constant, i just said it approached 0. if it approaches some other number or goes to infinity, the limit of the quotient cannot be zero

Answer 5

yes you are right , but i think it must be constantly 0 , otherwise it will not tend to 0 , am i right ?