Evaluating a Rather Complicated Limit with a Simple Solution: lim x → 0 cos ⁡ ( 3 x ) − cos ⁡ ( x ) x 2

Question

Evaluating a Rather Complicated Limit with a Simple Solution:       lim          x      →      0                          cos        ⁡        (        3        x        )        −        cos        ⁡        (        x        )                    x        2

Braedon Rivas · Accepted Answer

Using the follow formula:  cos  ⁡  3  x  −  cos  ⁡  x  =  −  2  sin  ⁡  2  x  sin  ⁡  x                              lim                      x            →            0                                                cos            ⁡            3            x            −            cos            ⁡            x                                x            2                          =                  lim                      x            →            0                                                −            2            sin            ⁡            2            x            sin            ⁡            x                                x            2                          =        −        4            Or,you can use L&#039;Hospital directly.

Evaluating a Rather Complicated Limit with a Simple Solution: <munder> <mo movablelimits="t

Answered question

Answer & Explanation

New Questions in Differential Calculus