7/23/2019 Lista LimiteA
http://slidepdf.com/reader/full/lista-limitea 1/4
limx→3−
f (x)
limx→3+
f (x)
limx→3
f (x)
limx→4
f (x)
lim
x→+∞f (x)
lim
x→−∞
f (x)
lim
x→−2+f (x)
lim
x→−2− f (x)
limx→−2
f (x)
lim
x→+∞f (x)
limx→0+
f (x)
limx→0−
f (x)
limx→0
f (x)
lim
x→+∞f (x)
limx→−∞
f (x)
limx→2
f (x)
limx→2+
f (x)
limx→2−
f (x)
lim
x→+∞f (x)
limx→−∞
f (x)
limx→1
f (x)
7/23/2019 Lista LimiteA
http://slidepdf.com/reader/full/lista-limitea 2/4
limx→1+
f (x)
limx→1−
f (x)
limx→1
f (x)
lim
x→+∞f (x)
lim
x→−∞
f (x)
limx→−2
f (x)
limx→−1
f (x)
limx→0
f (x)
lim
x→+∞f (x)
lim
x→−∞
f (x)
f (x) =
2 − x,
x < −1x,
− 1 ≤ x < 1
(x − 1)2, x ≥ 1
a
lim
x→a
f (x)
f
limx→1−
f (x) = 2 limx→1+
f (x) = −2 f (1) = 2
limx→0−
f (x) = 1 limx→0+
f (x) = −1 limx→2−
f (x) = 0 limx→2+
f (x) = 1 f (2) = 1
f (0)
limx→3+
f (x) = 4 limx→3−
f (x) = 2
limx→−2
f (x) = 2 f (3) = 3
f (−2) = 1
limx→1
f (x) = 3 limx→4+
f (x) = −3 limx→4−
f (x) = 3 f (1) = 1
f (4) = −1
limx→3
f (x)
limx→6
f (x)
limx→
2
f (x) = 4
f (x)
x = 2
limx→0+
f (x) = 1 limx→0−
f (x) = 2
x
limx→5+
6
x − 5
limx→5−
6
x − 5
limx→1
2 − x
(x − 1)2
limx→5−
ex
(x − 5)3
lim
x→−2+
x − 1
x2(x + 2)
limx→π− cossec(x)
lim
x→(−π
2)−
sec(x)
limx→5+
ln(x − 5)
f (x) =
x − 1,
x ≤ 3
3x − 7, x > 3
7/23/2019 Lista LimiteA
http://slidepdf.com/reader/full/lista-limitea 3/4
limx→3−
f (x)
limx→3+
f (x)
limx→3
f (x)
limx→5−
f (x)
limx→5+
f (x)
limx→5
f (x)
f (x) =
x2 − 2x + 1,
x = 37,
x = 3
lim
x→3f (x)
f (x) = |x − 4|
limx→4+
f (x)
limx→4−
f (x)
limx→4
f (x)
f (x) = 2 + |5x − 1|
lim
x→1
5
+f (x)
lim
x→1
5
−
f (x)
limx→
1
5
f (x)
f (x) =
|x − 3|
x − 3 ,
x = 3
0,
x = 3
f (x)
limx→3+
f (x)
limx→3−
f (x)
limx→3
f (x)
h(x) =
x
|x|,
x = 0
0,
x = 0
limx→0
h(x)
limx→1
1
x − 1
f (x) =
1
x,
x < 0
x2,
0 ≤ x < 12,
x = 1
2 − x, x > 1
limx→−1
f (x)
limx→1
f (x)
limx→0+
f (x)
limx→0−
f (x)
limx→0
f (x)
limx→2+
f (x)
limx→2−
f (x)
limx→2
f (x)
f (x) =
x2 − 25
x − 5
limx→0
f (x)
limx→5+
f (x)
limx→5−
f (x)
limx→5
f (x)
limx→−5
f (x)
7/23/2019 Lista LimiteA
http://slidepdf.com/reader/full/lista-limitea 4/4
+∞
+∞ −∞
+∞ −∞
+∞
1/2+
−∞
{a ∈ R|a = 1 a = −1}
+∞
−∞
+∞
−∞
−∞
+∞
−∞
−∞
−∞
