Derivative from the Limit Definition
The function g is defined such that g(x) = \frac{\sin(2x)}{x} for x \neq 0 and g(0) = 2. Which of the following statements about g'(0) is true?
A
g’(0) does not exist
B
g’(0) = -2/3
C
g’(0) = 0
D
g’(0) = 2
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