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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 1E: If the rational function y=r(x) has the vertical asymptote x=2, then as x2+ , either y ______or y...
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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
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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