Use the definition of the limit of a sequence to show that: mm ( 2²2 +²13) = 1/21 n (b) lim (√n² + 1 -n) = 2n²-3 (a) lim √√n+ (c) lim (√+ (-1)") = 1 +1
Use the definition of the limit of a sequence to show that: mm ( 2²2 +²13) = 1/21 n (b) lim (√n² + 1 -n) = 2n²-3 (a) lim √√n+ (c) lim (√+ (-1)") = 1 +1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
Related questions
Question
![1. Use the definition of the limit of a sequence to show that:
1
n² + n
2n² - 3
(b) lim (√n²+1 - n) =
0
2
(a) lim
=
(c) lim (√n + (-1)"
+1
= 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f7fc17b-d094-4628-a31a-d218ddf517ad%2F66d5b3b0-ebf1-413e-8509-2dc8e9b1e09b%2F0t3wr9k_processed.png&w=3840&q=75)
Transcribed Image Text:1. Use the definition of the limit of a sequence to show that:
1
n² + n
2n² - 3
(b) lim (√n²+1 - n) =
0
2
(a) lim
=
(c) lim (√n + (-1)"
+1
= 1
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