Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Evaluate lim 4^(n)(1-cos(theta/2^(n))) as n approaches infinity.

Evaluate lim 4^(n)(1-cos(theta/2^(n))) as n approaches infinity.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 23E
See similar textbooks
icon
Related questions
Question

Evaluate lim 4^(n)(1-cos(theta/2^(n))) as n approaches infinity.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

In step 2, how did you get the third part where it says limit 2^(n-1) x theta x sin(2^(-n)theta) as n approaches infinity.

Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

For the new solution problem at the bottom, how did you get (4^n/2^2n) = 1/4^n. Plus, why does (theta^(4)/4^n) times (1/4!) = 0?

Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

How infinity x 0 not zero? How come the final answer is infinity?

Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

How did you get the second step?

Solution
Bartleby Expert
SEE SOLUTION