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Question B1. [20 marks] a) Find the limit if it exists and explain why, if it does not exist. (i) lim where [a] := min{z
Posted: Wed Jul 06, 2022 1:21 pm
by answerhappygod
- Question B1 20 Marks A Find The Limit If It Exists And Explain Why If It Does Not Exist I Lim Where A Min Z 1 (24.69 KiB) Viewed 12 times
Question B1. [20 marks] a) Find the limit if it exists and explain why, if it does not exist. (i) lim where [a] := min{z € Z: z2 a} is the least integer/ceiling function. (ii) lim √2+11-√121 b) Consider the function f(z)=√√z-2. (i) Can one compute lim f(z)? If so, compute it. If not, explain why. 2-2- (ii) Can one compute lim f(z)? If so, compute it. If not, explain why. 242+ (iii) Does lim f(z) exists? If so, compute it. If not, explain why. (iv) Is f continuous at 2? Justify your answer. 3 [6] [6] [2] [2] [2] (2)