6. Using only the definition of limit (and no limit theorems) prove the lowing limits (a) lim 2n = 2; n+2 n→∞ (b) lim 3²+5 = 0; n→∞ sin(n) (c) lim = 0;

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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6. Using only the definition of limit (and no limit theorems) prove the fol-
lowing limits
(a) lim 2n = 2;
n+2
n→∞
2
(b) lim 3n²+5 = 0;
n→∞
0;
(c) lim
ny∞0
sin(n)
n
Transcribed Image Text:6. Using only the definition of limit (and no limit theorems) prove the fol- lowing limits (a) lim 2n = 2; n+2 n→∞ 2 (b) lim 3n²+5 = 0; n→∞ 0; (c) lim ny∞0 sin(n) n
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We will simply apply limit to prove the limits.

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