3. (i) State precisely what it means that the sequence (x (n)) DEN Converges to the limit xЄ R². [5 Marks] (ii) In the Euclidean space R2, find the limits of the following sequences (if the limit exists): 1-n (a) lim, (+11); n (b) lim (exp(−1/n), exp(−n²)); (c) lim∞ (cos(2πn/3), sin(2π/3)); [15 Marks]

3. (i) State precisely what it means that the sequence (x (n)) DEN Converges to the limit xЄ R². [5 Marks] (ii) In the Euclidean space R2, find the limits of the following sequences (if the limit exists): 1-n (a) lim, (+11); n (b) lim (exp(−1/n), exp(−n²)); (c) lim∞ (cos(2πn/3), sin(2π/3)); [15 Marks]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 48E

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