Problem involving limits

Calculus
Tutor: None Selected Time limit: 1 Day

Find the limit of

lim (sin x - x)/x^3

As x approaches 0?

Please help.

      

Feb 16th, 2015

By L'Hopital's rule, we need to find the lim as x approaches 0 of (cos x - 1)/(3x^2). (Note we take the derivative of the numerator and denominator. 

We can repeat this again to find that this limit is equivalent to lim as x approaches 0 of (-sin x)/(6x) which is equal to lim as x approaches 0 of (-cosx)/6 = -1/6. 

Feb 16th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Feb 16th, 2015
...
Feb 16th, 2015
May 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer