Quiz # 2
Ad - Soyad - Ö r No : _____________________________________
1) lim (x2 - 5) var m
x 0
r? Varsa nedir?
A) Yoktur
2)
lim
x 10
x
1)
B) 0
C) -5
2)
B) Yoktur
lim f(x) var m
(-1)+
-x2 + 1,
5x,
f(x) = -3,
-5x + 10
4,
C) 1
-1 x < 0
0<x<1
x=1
1<x<3
3<x<5
B) Evet
4)
lim f(x) = f(2) e itli i do ru mudur?
x 2
x3 ,
f(x) = -2x,
1,
0,
D) 10
3)
r?
A) Hay r
4)
D) 5
x2 - 100
var m d r? Varsa nedir?
x - 10
A) 20
3)
Bölüm :_________
-2 < x 0
0 x<2
2<x 4
x=2
A) Hay r
B) Evet
1
Fonksiyonun sürekli olmad
5)
bütün noktalar bulunuz.
A) Hiçbir
5)
B) x = -2
daki grafi i kullanarak öyle bir
> 0 bulun ki ,
6)
y = 2x + 3
7.2
C) x = 6
0 < x - x0 <
D) x = -2, x = 6
f(x) - L <
sa lans n.
6)
f(x) = 2x + 3
x0 = 2
L=7
= 0.2
=?
7
6.8
1.9 2 2.1
A) 5
B) 0.1
C) 0.4
D) 0.2
7)
7)
f(x) = x - 3
x0 = 4
y=
x-3
L=1
1
=
4
1.25
1
0.75
3.5625 4
A) 0.5625
4.5625
B) 1
C) 0.4375
2
D) 3
daki grafi i kullanarak sorulan limiti bulun.
8) lim f(x)=?
x 0
A) 0
Sorulan limiti bulun ( hint : lim
x=0
9) lim
x 0
B) -1
C) 6
D) yoktur
sinx
= 1.)
x
sin 5x
x
A) 5
10) lim
x 0
8)
9)
B)
1
5
C) yoktur
D) 1
x2 - 2x + sin x
x
A) 1
BONUS (3 puan)
11) lim (3x - 4) = 5 ispatlay
x 3
10)
B) yoktur
C) -1
D) 0
11)
z.
3
Answer Key
Testname: QUIZ2
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
C
A
B
A
C
B
C
A
A
C
Let > 0 be given. Choose = /3. Then 0 < x - 3 <
(3x - 4) - 5 = 3x - 9
= 3(x - 3)
=3 x-3 <3 =
Thus, 0 < x - 3 < implies that (3x - 4) - 5 <
implies that
4
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Quiz2