Question

prove that (√3+1) (√3-1)=2. use this to compute 1/√3-1​

Answer 1

Answer:

For c= 0, compute in the same way, we get = 2. Formal Proof: For c>0, let >0, choose = p c , for any xsuch that 0 <jx cj< , j p x p cj= j(p x p c) p x+ p c p x+ p c j= j x c p x+ p c j j x c p c j= 1 p c jx cj< 1 p c = Therefore, by the de nition of limit,for c>0, lim x!c p x= p c. ... Exercise 3.1.2 Prove Corollary 3.1.10. Corollary 3.1.10 Let SˆR and cbe a cluster point of S. Let f: S!R be a function. And suppose that the limit of f(x) as xgoes …

Step-by-step explanation:

For c= 0, compute in the same way, we get = 2. Formal Proof: For c>0, let >0, choose = p c , for any xsuch that 0 <jx cj< , j p x p cj= j(p x p c) p x+ p c p x+ p c j= j x c p x+ p c j j x c p c j= 1 p c jx cj< 1 p c = Therefore, by the de nition of limit,for c>0, lim x!c p x= p c. ... Exercise 3.1.2 Prove Corollary 3.1.10. Corollary 3.1.10 Let SˆR and cbe a cluster point of S. Let f: S!R be a function. And suppose that the limit of f(x) as xgoes …

Answer 2

Answer:

thanks for free points

Step-by-step explanation: