(Solved): The graph of the function \( f \) is shown. Which of the following statements is false? \[ \lim _{x ...

The graph of the function \( f \) is shown. Which of the following statements is false? \[ \lim _{x \rightarrow-2} f(x) \text { does not exist. } \] \( \lim _{x \rightarrow-1} f(x) \) does not exist. \( \lim _{x \rightarrow-5} f(x) \) exists. \( \lim _{x \rightarrow-1^{+}} f(x) \) exists. Choose an equivalent statement for \( f^{\prime}\left(\frac{\pi}{n}\right) \) if \( f(x)=\frac{1-\cos x}{\cos x} \). \( -1 \) \[ \sec \left(\frac{\pi}{n}\right) \tan \left(\frac{\pi}{n}\right) \] \[ -\cot \left(\frac{\pi}{n}\right) \] \[ -2 \tan \left(\frac{\pi}{n}\right)+\tan \left(\frac{\pi}{n}\right) \sec \left(\frac{\pi}{n}\right) \]