Indeterminate Forms of Type 0/0

March 2, 2008

Evaluate the following limits:

  1. \displaystyle \lim_{x \rightarrow \frac{\pi}{2}} \frac{1 - \sin x}{\cos x}
  2. \displaystyle \lim_{x \rightarrow 0} \frac{e^x - 1}{x^3}
  3. \displaystyle \lim_{x \rightarrow \infty} \frac{x^{-4/3}}{\sin (1/x)}

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