**11th grade math worksheets**Report an error / Note?

**limits and asymptotes**.

Exercise 1 – Limits in infinity

Determine in each case .

1.

2.

Exercise 2 – Definition and limits

Determine the domain of definition D of f and then study the limits of f on the boundaries of D.

Exercise 3 – Limit of a rational function

Determine the limit in and of :

Exercise 4 – Calculate the following limits

Exercise 5 – Functions, derivative and tangent

Let be the function defined on by .

We note its graphical representation.

1. Calculate the derivative of , then solve the equation .

2. Deduce the coordinates of s two points A and B in which

has a horizontal tangent .

3. Determine the coordinates of the three points P, Q and R of intersection

between and the abscissa axis (P will be noted the one which has a strictly positive abscissa)

4. Deduce an equation of the tangent T at in P.

Exercise 6 – Functions, derivative and limit

Let be the function defined on by .

1. Study the following limits:

and .

2. Calculate the derivative of . What is its sign?

Exercise 7 – Calculation of limits of functions

Determine the following limits:

1.

2.

3.

4.

Exercise 8

Determine the following limits:

1.

2.

3.

4.

5.

6.

Exercise 9

Determine the following limits:

1.

2.

3.

4.

5.

Exercise 10

Determine the following sum or difference limits:

1.

2.

3.

Exercise 11

Determine the limits of the following quotients and square roots:

1.

2.

3.

4.

5.

6.

7.

Exercise 12

Specify the limit of the following indeterminate forms:

1.

2.

3.

4.

5.

6.

7.

8.

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