5. Use the definition of the limit of a sequence to establish the following limits. n (a) lim n²+1 1) = 0, 2n (b) lim = 2, n+ 3n+1 3 n² - 1 1 (c) lim (d) lim 2n+5 2' 2n² +3 2'
5. Use the definition of the limit of a sequence to establish the following limits. n (a) lim n²+1 1) = 0, 2n (b) lim = 2, n+ 3n+1 3 n² - 1 1 (c) lim (d) lim 2n+5 2' 2n² +3 2'
5. Use the definition of the limit of a sequence to establish the following limits. n (a) lim n²+1 1) = 0, 2n (b) lim = 2, n+ 3n+1 3 n² - 1 1 (c) lim (d) lim 2n+5 2' 2n² +3 2'
Transcribed Image Text:5. Use the definition of the limit of a sequence to establish the following limits.
2n
n
(a) lim
n² + 1
= 0,
+1
(b) lim
lim (1241) =
n+1
2,
(c) lim
3n+1
3
==
2n+5
लाते
(d) lim
2'
n²
-
1
2n² +3,
==
2
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
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