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Finite Limit at Infinity

​
ϵ
lim
x∞
f(x) = L
●
ϵ = 1.52565
M =
10
The function
f(x)
has a finite limit,
L
, as
x∞
. This means that for any
ϵ>0
, there is a number
M
such that
x>M
implies
|f(x)-L|<ϵ
. Adjust ϵ using the slider and then adjust the value of
M
to in such a way that, to the right of the
M
vertical, the graph lies between
L-ϵ
and
L+ϵ
. The function shown is
f(x)=4
-
x
5
sin(5x)+3
.
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