lim x>0 (tan 7x / tan 4x)
= lim x>0 (((tan 7x) / 7x)*7x) / (((tan 4x) / 4x)*4x). (MULTIPLYING AND DIVIDING BY 7X and 4X RESPECTIVELY).
we know the property lim x>0 (tan x) / x = 1.
therefore lim x>0 (tan 7x)/7x and lim x>0 (tan 4x)/4x will become one.
which leaves behind lim x>0 (7x / 4x)
= 7/4
