Question: Prove that if x > 1 , then lim n tends to infinity n / x ^ n = 0

Prove that if x >1, then lim n tends to infinity n/x^n=0

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

I need help with the following: Use the Limit Comparison Test to determine whether the series converges or diverges. n _ \":1 1 + 771,3 71:1 ()0 00 1 The comparison series is 2 bn : Z C(np) where c :...

Q:

MAT 137Y: Calculus! Problem Set 9. Due in tutorial on March 21-22 Instructions: Print this cover page, ll it out entirely, and STAPLE it to the front of your problem set solutions. (You do not need...

Q:

The optimal error of a two-point testing problem with i.i.d. data is \\\\phi ), where P^(n) denotes the product distribution. Though the testing error can be related to the total variation between...

Q:

8 Work through the following steps to evaluate / (a:2 + 89: + 2)da:. 3 a) We know that a = [j and b = [3. b) Using n subintervals, A2: = [:] c) Assume that the sample points in each interval are...

Q:

Find Lim x -> 00 ( x B + 3 x 6+ sin (x ) + 1 ) -4x 4 X-1 Enter Infinity, - infinity, a finite number, or N If the Limit does not exist. Lim ( x8+3 x6 + sin ( x )+ 1 - 4x4 + X-1

Q:

Consistent Estimator Another way to measure the closeness of an estimator to the parameter Θ is in terms of consistency. If Θn is an estimator of Θ based on a random sample of n...

Q:

a) (CAPM) Consider the following properties of the returns of stock 1 (S.), stock 2 (S), and of the market (M): sd(Rs.) = 0.20, sd(Rs.) = 0.30, sd(Ru) = 0.15, . CorrRs, Ru) = 0.4. CorrRs, Ru) = 0.7,...

Q:

Homework 1 Q7 Chrome File Edit View History Bookmarks Profiles Tab Window Help G Q Wed May 4 5:30 PM ... Do Homework - Section 2.1 Ho x Homework Help - Q&A from Or x + C a...

Q:

N 1 Problem 1. (25%) Compute the Harmonic sum , W 1 , using single precision (i.e., float), for N = 10, with n = 1, 2, 3,...,8, (or higher). Mathematically, i.e., when using exact arithmetic, this...

Q:

Python code please Problem 1. (25%) Write a program and use it to compute the Harmonic sum , Emi I, using single precision (i.e., float), for N = 10", with n = 1, 2, 3, ..., 8, (or higher). Repeat...

Q:

Assume you are the plant manager for Crossroads Sign Company, which produces road signs in a market that approximates perfect competition. Due to a slow economy, business has been slow and the...

Q:

Orono Corp had total assets of $2,500,000, debt-to-assets ratio of 40%, sales of $725,000, and (net) profit margin of 8% last year. The company did not have any preferred stocks and had a tax rate of...

Q:

E8.6 (LO 1) (LCNRVError Effect) LaGreca SA uses the LCNRV method, on an individual-item basis, in pricing its inventory items. The inventory at December 31, 2025, includes product X. Relevant...

Q:

a) Why might a form use a "local" capital structure at a particular subsidiary that differs substantially from its "global" capital structure? b) Rose Inc., a U.S. company, needed to infuse capita...