lim x4 - 16 x2 - 4 = x4 - 16 = (x - 42 = (x 2 - 4)(x 2 + 4) lim x4

x4
x!2 x2
16
=
4
lim
x4
x4
x!2 x2
lim
16
4
=
4 x2 + 4
x!2
x2 4
2
lim x + 4
=
2 +4
=
lim
p
lim
t!0
2
t
t
p
2
=
=
=
=
=
=
=
42 = x2
x2
8.
2
t
t
t!0
p
2
x!2
2
=
lim
16 = x2
lim
p
t!0
2
p
lim
t!0
2
p
2
=
p
t
t
t
t
2
p
·1
2
2 t 2
p
p
2 t+ 2
t
p
lim p
t!0 t
2 t+ 2
1
p
lim p
t!0
2 t+ 2
1
p
p
2 0+ 2
1
p .
2 2
lim
t!0
t
p
· p
2
t+
2
t+
p
p
2
2
4
x2 + 4