Find the limit L. Then use the - definition to prove that the limit is L. lim √√x x →0 L = Use the - definition to prove that the limit is L. Given & > 0, assume f(x) - L < ε, then |³√x - () Let &=& < E 1²³√√x1 < & |x| < If 0 < x < 8 when 8 -(C |x| < E 1³√√x1 < E ])[ |f(x) - LI < E. << E = E , you have
Find the limit L. Then use the - definition to prove that the limit is L. lim √√x x →0 L = Use the - definition to prove that the limit is L. Given & > 0, assume f(x) - L < ε, then |³√x - () Let &=& < E 1²³√√x1 < & |x| < If 0 < x < 8 when 8 -(C |x| < E 1³√√x1 < E ])[ |f(x) - LI < E. << E = E , you have
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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![Find the limit L. Then use the &- definition to prove that the limit is L.
3
lim √√x
X→0
L =
Use the &- definition to prove that the limit is L.
Given & > 0, assume [f(x) - L| < &, then
|³√x - ()
]).
Let & E
=
√√x-(
< E
1³√√x < &
|x| <
If 0 < x < 8 when 8 = &-
|x| <
E
1³√√x1 < E
])|
|f(x) - L < E.
!
< E
, you have](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ada2a71-c264-487c-abc6-5998e36c54a0%2F90d2a631-e7eb-4173-affe-518ffe4e3c5e%2Fr55vkmb_processed.png&w=3840&q=75)
Transcribed Image Text:Find the limit L. Then use the &- definition to prove that the limit is L.
3
lim √√x
X→0
L =
Use the &- definition to prove that the limit is L.
Given & > 0, assume [f(x) - L| < &, then
|³√x - ()
]).
Let & E
=
√√x-(
< E
1³√√x < &
|x| <
If 0 < x < 8 when 8 = &-
|x| <
E
1³√√x1 < E
])|
|f(x) - L < E.
!
< E
, you have
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