2. Evaluate each limit, if it exists: a)lim ²-4 x-2 X-2 b)lim 1-x² x-1 1-x x²-4x x-0 x(x-1) c) lim

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.2: Continuity
Problem 32E
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2. Evaluate each limit, if it exists:
x²-4
a)limx-2
b)lim 1-²
1-x
x²-4x
x¬0 x(x−1)
c) lim
Transcribed Image Text:2. Evaluate each limit, if it exists: x²-4 a)limx-2 b)lim 1-² 1-x x²-4x x¬0 x(x−1) c) lim
1. For the function y = 5x³ - 4x
a. Determine the average rate of change between x₁=3 and x₂ = 5.
b.
Determine the instantaneous rate of change at x = 5. Use the Difference Quotient Formula
Transcribed Image Text:1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁=3 and x₂ = 5. b. Determine the instantaneous rate of change at x = 5. Use the Difference Quotient Formula
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