Тест на знание лимитов

What is a limit in mathematics?

• Limit is the maximum value of a function.

• Limit is the average value of a sequence.

• Limit is the difference between two values.

• Limit is the value that a function or sequence approaches.

What limit does the function f(x) = 1/x have as x approaches 0?

• The limit is infinity.

• The limit does not exist.

• The limit is 0.

• The limit is 1.

How is the limit of a function written?

• lim (x -> a) f(x) = L

• lim (x -> a) f(x) = a

• lim (x -> a) L = f(x)

• lim (x -> a) f(a) = L

What is the limit of the function f(x) = x as x approaches 2?

• 3

• 2.5

• 1

• 2

• 2

• 3

• 5

• 6

How to find the limit of the sum of two functions?

• The limit of the sum of two functions is equal to the sum of their limits.

• The limit of the sum of two functions is equal to the difference of their limits.

• The limit of the sum of two functions is equal to the product of their limits.

• The limit of the sum of two functions does not exist.

What is the limit of the function f(x) = x^2 as x approaches 3?

• 9

• 6

• 12

• 9.5

What is a one-sided limit?

• A one-sided limit is the limit of a function as it approaches a point from both sides.

• A one-sided limit is the value of a function at infinity.

• A one-sided limit is the limit of a function as it approaches a point from one side.

• A one-sided limit is the difference between the values of a function at two points.

What is the limit of the function f(x) = sin(x)/x as x approaches 0?

• 1/2

• -1

• 1

• 0

• 2

• 0

• 1

• -1