a) lim (0 Scratch worki < क n < ε ( <ε² < not Proof: Let eso, By the archmedian a natural number N°(E) >o property , there exist So N(E) > N(E) we have n> ½ ₂. For all then ε > 1 nti b) Scratch work: = In < EL We can rewrite "this as. บท n+1 √n> ૮૬ √n रह ९० 10/48 lim (√n² + 1 n ) = 0 -n-c | |< -n - √n² n> √ Proof: Let & xo, by the archimedian property, there exist a 'N(e) >o where N(E). natural member For all n = N(E), we know n > Jes then E therefore > √n²+1 -n. Thus 11m (√571-n)=0. I'm √n²+1
a) lim (0 Scratch worki < क n < ε ( <ε² < not Proof: Let eso, By the archmedian a natural number N°(E) >o property , there exist So N(E) > N(E) we have n> ½ ₂. For all then ε > 1 nti b) Scratch work: = In < EL We can rewrite "this as. บท n+1 √n> ૮૬ √n रह ९० 10/48 lim (√n² + 1 n ) = 0 -n-c | |< -n - √n² n> √ Proof: Let & xo, by the archimedian property, there exist a 'N(e) >o where N(E). natural member For all n = N(E), we know n > Jes then E therefore > √n²+1 -n. Thus 11m (√571-n)=0. I'm √n²+1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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Can an expert please look over my work and see if i solve the problemss correct. If it is wrong please provided and explanation on why so i can understand it please. Thank you!
"USE THE DEFINITION OF THE LIMIT OF A SEQUENCE TO ESTABLISH THE FOLLOWING LIMITS"
PART A AND B R SOLVED BELOW.
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