Question

We see that the value when approaching from the right matches the value when approaching from the left, and also we see that the value converges to (BLANK). Therefore, the limit exists and is given by lim tan(4x)/tan(5x) = (BLANK)

NEED THE ANSWER WHERE IT SAYS BLANK!
x→0

Answer 1

f(x)

Answer 2

It is as the lim approaches x->0

Answer 3

is the first thing

Answer 4

then differentiate the top and bottom , taake the limit again

Answer 5

should be 4/5

Answer 6

why 4/5? wouldn't it be 0?

Answer 7

its 4/5
you first get 0/0, this is indeterminate
derivative of tan(ax) = a/cos^2