The fundamental limit assumes that is measured in radians.

Chapter , Problem 13

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The fundamental limit assumes that is measured in radians. What happens if you assume that is measured in degrees instead of radians? (a) Set your calculator to degree mode and complete the table. (b) Use the table to estimatefor in degrees. What is the exact value of this limit? (Hint: radians) (c) Use the limit definition of the derivative to find for in degrees. (d) Define the new functions and where Find and Use the Chain Rule to calculate (e) Explain why calculus is made easier by using radians instead of degrees.

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