(Solved) Evaluate the following limits: x→ 0lim (sin x-x)/(tan x-x) x→ 1^+lim ((1)/(ln


Question: Evaluate the following limits:

  1. \(\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin x-x}{\tan x-x}\)
  2. \(\underset{x\to {{1}^{+}}}{\mathop{\lim }}\,\left( \frac{1}{\ln x}-\frac{1}{x-1} \right)\)

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