My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Thanks Tree2Thanks
  • 1 Post By idontknow
  • 1 Post By romsek
Reply
 
LinkBack Thread Tools Display Modes
February 23rd, 2019, 07:55 AM   #1
Newbie
 
Joined: Jan 2019
From: Athens

Posts: 5
Thanks: 0

Limit Calculation

Hi, I am trying to solve the following limit

$\displaystyle \lim_{x\to\infty}\cos\left(\!\frac{\pi\sqrt{x^4 + 7}}{6x^2 + 5}\right)$

https://drive.google.com/open?id=1ll...XvBmLta1ozBcCW

Any help is welcome!!

Last edited by skipjack; March 26th, 2019 at 12:49 AM.
soul33 is offline  
 
February 23rd, 2019, 08:35 AM   #2
Senior Member
 
Joined: Dec 2015
From: somewhere

Posts: 511
Thanks: 79

You can set the limit inside the $\displaystyle \cos$-function .
Thanks from topsquark
idontknow is offline  
February 23rd, 2019, 05:56 PM   #3
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: USA

Posts: 2,429
Thanks: 1314

$\lim \limits_{x\to \infty} \cos\left(\dfrac{\pi \sqrt{x^4+7}}{6x^2+5}\right) = $

$\lim \limits_{x\to \infty} \cos\left(\dfrac{\pi \sqrt{1+7x^{-4}}}{6+5x^{-2}}\right) =$

$\cos\left(\dfrac{\pi}{6}\right) = \dfrac{\sqrt{3}}{2}$
Thanks from topsquark
romsek is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
calculation, limit



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Calculation limit shenlong1234 Calculus 2 December 8th, 2016 04:21 AM
Limit calculation evol_w10lv Calculus 2 April 25th, 2016 02:56 PM
fun limit calculation icemanfan Real Analysis 3 September 10th, 2012 12:02 PM
Limit calculation patient0 Real Analysis 14 January 19th, 2011 05:17 AM
Limit calculation Crouch Calculus 2 December 30th, 2010 02:39 AM





Copyright © 2019 My Math Forum. All rights reserved.