Letx=71/2+1/n ta . 11 tan ( na+l -). Find lim x (give your answer in decimal form "a.bcd"). 4n 11

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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Let x = 71/2+1/n. tan(
11
QUESTION 4
Mark all correct answers (there might be more than one answer that is correct).
0
na+l
4n
1 1
Assume that x 0 and x →x then →→—.
n
n
0
Assume that x
KE (REN: x - x<e)-
ke
n
-). Find lim x (give your answer in decimal form "a.bcd").
11
n
QUESTION 5
Let a
X
Suppose that xx and y →y and assume that, for all nEN, x ≤z ≤y . Then z →x.
n
n
n
n
n
For each x ER there is a sequence {*}, x € Q, for all n E N, such that x→x.
(x
n
X
is a sequence of real numbers and assume that x →x. Then for every >0 and for every NEN, there is kEN, k>N, such that
n
Ifx →x and for all n EN, x <a then x<a.
n
X
n
= 5" +7" +11". Find lim a
11
n
818
Transcribed Image Text:Let x = 71/2+1/n. tan( 11 QUESTION 4 Mark all correct answers (there might be more than one answer that is correct). 0 na+l 4n 1 1 Assume that x 0 and x →x then →→—. n n 0 Assume that x KE (REN: x - x<e)- ke n -). Find lim x (give your answer in decimal form "a.bcd"). 11 n QUESTION 5 Let a X Suppose that xx and y →y and assume that, for all nEN, x ≤z ≤y . Then z →x. n n n n n For each x ER there is a sequence {*}, x € Q, for all n E N, such that x→x. (x n X is a sequence of real numbers and assume that x →x. Then for every >0 and for every NEN, there is kEN, k>N, such that n Ifx →x and for all n EN, x <a then x<a. n X n = 5" +7" +11". Find lim a 11 n 818
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