Which of the following is true for the limit $\lim _ { x \rightarrow 0 } \frac { 1 - \cos ^ { 2 } x } { 3 x }$
A) $- \frac { 1 } { 3 }$
B)0
C) $\frac { 1 } { 3 }$
D)3
E)Does not exist

Question

Which of the following is true for the limit $\lim _ { x \rightarrow 0 } \frac { 1 - \cos ^ { 2 } x } { 3 x }$ 
A) $- \frac { 1 } { 3 }$
B)0
C) $\frac { 1 } { 3 }$
D)3
E)Does not exist

Quizplus · Accepted Answer

Using L'Hopital's rule, we get $\lim _ { x \rightarrow 0 } \frac { 1 - \cos ^ { 2 } x } { 3 x } = \lim _ { x \rightarrow 0 } \frac { - 2 \cos x \sin x } { 3 } = 0$

Which of the Following Is True for the Limit lim⁡x→01−cos⁡2x3x\lim _ { x \rightarrow 0 } \frac { 1 - \cos ^ { 2 } x } { 3 x }limx→0​3x1−cos2x​

Which of the Following Is True for the Limit $\lim _ { x \rightarrow 0 } \frac { 1 - \cos ^ { 2 } x } { 3 x }$