We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
363
2
avatar+1904 

I do not know how to type the correct format for this problem so I will put into words and you can write it in symbols.

 

The limit of (x^3+5x)/(2x^3-x^2+4) as x approaches infinity is what?  If anyone knows how to solve this problem and can give me step-by-step instructions, I would really appreciate it.  Thanks.

 Apr 13, 2018
 #1
avatar+17990 
+1

https://www.symbolab.com/solver/limit-calculator/%5Clim_%7Bx%5Cto%5Cinfty%7D%20%5Cfrac%7B%5Cleft(x%5E%7B3%7D%2B5x%5Cright)%7D%7B%5Cleft(2x%5E%7B3%7D-x%5E%7B2%7D%2B4%5Cright)%7D

 Apr 14, 2018
edited by ElectricPavlov  Apr 14, 2018
 #2
avatar+27653 
+2

As x tends to infinity, in the numerator 5x becomes negligible compared to x^3.  In the denominator x^2 and 4 become negligible compared to x^3 Hence the expression tends to x^3/(2x^3).  The x^3 terms cancel leaving 1/2 as the limiting value.

 

.

 Apr 14, 2018
edited by Alan  Apr 14, 2018

15 Online Users

avatar
avatar