WOLFRAM|DEMONSTRATIONS PROJECT

Investigating Limits Numerically

​
f(x)
2
x
limit point a
2
move x closer to
2
lim
x2
2
x
x
2
x
x
2
x
1.9
3.610000000
2.1
4.410000000
1.99
3.960100000
2.01
4.040100000
1.999
3.996001000
2.001
4.004001000
1.9999
3.999600010
2.0001
4.000400010
This Demonstration lets you investigate
lim
xa
f(x)
numerically for various functions
f
and values of
a
. Examples available include continuous functions, standard 0/0 indeterminate forms (with and without limits that exist), and infinite limits.