Collection of tasks on discipline "Mathematical analysis"
Exercise 1
Question 1. What is called a function?
1. The number;
2. rule that each value of argument x to correspond to one and only one value of y;
3. vector;
4. The matrix;
5. there is no right answer.
Question 2: In which case, you can determine the inverse function?
1. when each element has a unique inverse image;
2. When the function is constant;
3. When the function is not defined;
4. When the function is multi-valued;
5. there is no right answer.
Question 3. What is the function called Limited?
1. reverse;
2. The function f (x) is called bounded if m≤f (x) ≤M;
3. complex;
4. The function f (x) is called bounded if f (x)> 0;
5. The function f (x) is called bounded if f (x) ≤0;
Question 4: What is the point is called a limit point of A?
1. zero;
2. t.h0 called a limit point of A if every neighborhood of x0 contains points of the set A, different from x0;
3. does not belong to the set A;
4. there is no right answer;
5. lying on the boundary of the set.
Item 5. Can be a limit point if sided limits are not equal?
1. yes;
2. Sometimes;
3. No;
4. always;
5. there is no right answer.