We consider the right-hand limit lim f(x), and the left-hand limit lim f(x) x-1* x-1 X 1 x-1 0.9 We notice that lim x-x-1 0.99 0.999 0.9999 1.0001 1 and lim x-x-1 = 1.001 1.01 1.1

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
Section3.1: Limits
Problem 30E
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We consider the right-hand limit lim f(x), and the left-hand limit lim f(x)
x-1*
X
1
x-1
0.9
1
x→ x-1
We notice that lim
0.99
0.999 0.9999
1.0001
1
xx-1
and lim
_J←X
1.001
1.01
1.1
Transcribed Image Text:We consider the right-hand limit lim f(x), and the left-hand limit lim f(x) x-1* X 1 x-1 0.9 1 x→ x-1 We notice that lim 0.99 0.999 0.9999 1.0001 1 xx-1 and lim _J←X 1.001 1.01 1.1
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