Chapters

## Exercise 1

Using the definition of a limit, prove that:

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## 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

## 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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