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Calculus I - Assignment Problems
 Derivatives Previous Chapter Next Chapter Integrals L'Hospital's Rule and Indeterminate Forms Previous Section Next Section Differentials

## Linear Approximations

For problems 1  4 find a linear approximation to the function at the given point.

1.  at

2.  at

3.  at

4.  at

5. Find the linear approximation to  at .  Use the linear approximation to approximate the value of   and .   Compare the approximated values to the exact values.

6. Find the linear approximation to  at .  Use the linear approximation to approximate the value of   and .   Compare the approximated values to the exact values.

7. Find the linear approximation to  at .  Use the linear approximation to approximate the value of   and .   Compare the approximated values to the exact values.

For problems 8  10 estimate the given value using a linear approximation and without using any kind of computational aid.

8.

9.

10.

 L'Hospital's Rule and Indeterminate Forms Previous Section Next Section Differentials Derivatives Previous Chapter Next Chapter Integrals

[Notes]

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