Radians and Degrees The fundamental limit
assumes that x is measured in radians. Suppose you assume that x is measured in degrees instead of radians.
(a) Set your calculator to degree mode and complete the table.
z (in degrees)  0.1  0.01  0.0001 

(b) Use the table to estimate
for z in degrees. What is the exact value of this limit?
(Hint:
(c) Use the limit definition of the derivative to find
(d) Define the new functions
(e) Explain why calculus is made easier by using radians instead of degrees.
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