Let xn 1 ln(n 1) for n N (a) Use the definition of limit to show that lim(xn) 0 (b) Find a specific value of K() as required in the definition of limit for each of (i) 1 2, and (ii) 1 10

Question: Let xn := 1/ln(n + 1) for n N. (a) Use the definition of limit to show that lim(xn) = 0. (b) Find a

Let xn := 1/ln(n + 1) for n ∈ N.
(a) Use the definition of limit to show that lim(xn) = 0.
(b) Find a specific value of K(ε) as required in the definition of limit for each of (i) ε = 1/2, and (ii) ε = 1/10.

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