Four and seven-two hundredths
In a tangent segment, no part of it is in the interior of the circle. with a secant, there is a part in the interior called the chord. hope it helps
if you need help with anything else just ask me
F(x)=(4x-3)^-1(10))
(-4x+3(10))
(-4x(30))
i think that's how you would solve it i can't quite remember if you substitute the x with the 10 but if you do it would be
f(x)=4(10)-3
40-3
37
but im pretty sure it's the first way.

means to say that for any given
, we can find
such that anytime
(i.e. the whenever
is "close enough" to 5), we can guarantee that
(i.e. the value of
is "close enough" to the limit value).
What we want to end up with is

Dividing both sides by 3 gives

which suggests
is a sufficient threshold.
The proof itself is essentially the reverse of this analysis: Let
be given. Then if

and so the limit is 7. QED