2. Each of the following limits represents the derivative of some function f at some num- ber a. In each case, tell what f(x) is and what x = a is. a) lim h→0 (3+h)⁹ - 3 h b) lim Ax→0 /16 + Ax 4 AI

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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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2. Each of the following limits represents the derivative of some function f at some num-
ber a. In each case, tell what f(x) is and what x = a is.
a) lim
h→0
(3+h)⁹ - 3
h
b) lim
Ax→0
/16 + Ax 4
AI
Transcribed Image Text:2. Each of the following limits represents the derivative of some function f at some num- ber a. In each case, tell what f(x) is and what x = a is. a) lim h→0 (3+h)⁹ - 3 h b) lim Ax→0 /16 + Ax 4 AI
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