# Question about Limits and Derivatives

Please show me all of your work so that I can understand how to do the problems correctly. Please double check all of your answers to that you are sure everything is correct. Thanks.

1. Find the limit L. Then use the definition to prove that the limit is L. .

2. Find the limit: .

3. Calculate the derivative of . Use trigonometric identities located in the back cover of the textbook to simplify.

4. Find the slope of the curve at the point ( ,1).

5. Evaluate the integral: .

6. Describe or sketch (if possible) the graph of the function . You must use the first and second derivative tests and name any intercepts, asymptotes, relative extrema, and points of inflection. Also include any intervals on which the function is increasing or decreasing, any types of concavity, or symmetry.

https://brainmass.com/math/derivatives/question-limits-derivatives-23114

#### Solution Preview

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Please show me all of your work so that I can understand how to do the problems correctly. Please double check all of your answers to that you are sure everything is correct. Thanks.

1. Find the limit L. Then use the definition to prove that the limit is L. .

Proof. For any , there exists such that for every , we have

ie.,

So,

2. Find the ...

#### Solution Summary

These questions show limits, derivatives, and points of inflection. The expert finds the slope of a curve at a point.