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Let's go

Exercise 1

Using the definition of a limit, prove that:

Exercise 2

Using the graph of the function f(x), determine the following limits.

Exercise 3

Using the definition of a limit, prove that:

has a limit 1 as x 0

Calculate the Following Limits:

Exercise 4

Exercise 5

Exercise 6

Exercise 7

 

Solution of exercise 1

Using the definition of a limit, prove that:

If

To check this, take a .

For .

For .

 

Solution of exercise 2

Using the graph of the function f(x), determine the following limits.

 

Solution of exercise 3

Using the definition of a limit, prove that:

has a limit 1 as x 0

Left side limit.

Right side limit

Solution of exercise 4

Calculate the limit:

Calculate the side limits to determine the sign of .

No limit.

 

Solution of exercise 5

Calculate the limit:

 

Solution of exercise 6

Calculate the limit:

 

Solution of exercise 7

Calculate the limit:

 

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Emma

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.