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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Expert Solution
Step 1: Determine the given information

The given sequence x subscript n equals 7 to the power of 1 half plus 1 over n end exponent tan open parentheses fraction numerator n straight pi plus 1 over denominator 4 n end fraction close parentheses.

The aim is to find the limit limit as n rightwards arrow infinity of x subscript n.

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  Since you have asked multiple questions, hence we are answer only first question for you. If you need more answer kindly re post the remaining questions separately.

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