По дисциплине «Математический анализ» 1 курс
Сборник задач
специальность 5В070400 «ВТПО»
ТЕМА: «Пределы и производные»
1.
Find limit 
as x 
0
2.
Find limit 
as x 2
3.
Find limit 
as x 
4.
Find limit 
as x 
0
5.
Find limit 
as x 
3
6.
Find limit
as x 
-4
7.
Find limit 
as x 
8.
Find limit 
as x
9.
Find limit function from the left 
in the point 
10.
Find limit of function from the right in the point 
11.
Find limit of function from the right 
in the point 
0
12.
Find limit of function from the left in the point
13.
Find limit of function from the right 
in the point 
0
14.
Find limit of function from the left in the point
15.
Find limit 
as x 0
16.
Find limit as x 3
17.
Find limit 
as x , 
a
18.
Find limit 
as x , 
19.
Find derivative
.
20.
Find derivative
.
21.
Find derivative
.
22.
Find derivative
.
23.
Find derivative
.
24.
Find derivative
. 
25.
Find derivative
26.
Find derivative 
27.
Find derivative
28.
Find derivative
. 
29.
Find derivative
. 
30.
Find derivative
. 
31.
Find derivative
. 
32.
Find derivative
. 
33.
Find derivative
. 
34.
Find derivative
35.
Find derivative
. 
36.
Find derivative
.
37.
Find derivative
38.
Find derivative
39.
Find derivative
40.
Find derivative 1+2t^2
41.
Find derivative
42.
Find derivative
43.
Find derivative
44.
Find maximum and minimum
on [-4;4]. Min -41; max 40
45.
Find maximum and minimum
on [1;e]. min 0; max e^2
46.
Find maximum and minimum
on [0; 
]. Min -2; max 3^(1/2)+ 3^(1/2) / 2
47.
Find maximum and minimum
min = 0
48.
Find maximum and minimum
on [0; 0 
]. Min 1; max 2
49.
Find maximum and minimum
on [1;e]. max 1 min 2(1-ln2)
50.
Find maximum and minimum
min -1
51.
Find maximum and minimum
Max e
52.
Find limit F 
as x 
4