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

x
5