   Chapter 2.6, Problem 11E

Chapter
Section
Textbook Problem

Guess the value of the limit lim x → ∞ x 2 2 x by evaluating the function f(x) = x2/2x for x = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 50, and 100. Then use a graph of f to support your guess.

To determine

To evaluate: The value of limxx22x for the function f(x)=x22x for the values

x=0,1,2,3,4,5,6,7,8,9,10,20,50 and 100.

Explanation

Calculation:

Consider the function f(x)=x22x

The table value of the limit function f(x).

 x x2 2x f(x) 0 0 1 0 1 1 2 0.5 2 4 4 1 3 9 8 1.125 4 16 16 1 5 25 32 0.78125 6 36 64 0.5625 7 49 128 0.3828125 8 64 256 0.25 9 81 512 0.15820313 10 100 1024 0.09765625 20 400 1048576 3.814697×10−4 50 2500 1.125899×1015 2

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find the value of the sum. 33. i=1n(i+1)(i+2)

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 1520, simplify the expression. 18. (2x3) (3x2) (16x1/2)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Finding a Derivative In Exercises 11-18, find r(t). r(t)=arcsint,arccost,0

Calculus: Early Transcendental Functions (MindTap Course List)

By determining the limit of Riemann sums, the exact value of dx is a) 7 b) 9 c) d) 18

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

For and

Study Guide for Stewart's Multivariable Calculus, 8th 