(Solution Library) Evaluate the following limits if they exist. If a limit does not exist, explain why. a→ 1lim (a^2+6a-7)/(a-1) x→ 0lim (cos


Question: Evaluate the following limits if they exist. If a limit does not exist, explain why.

  1. lima1a2+6a7a1\underset{a\to 1}{\mathop{\lim }}\,\frac{{{a}^{2}}+6a-7}{a-1}
  2. limx0cosxx\underset{x\to 0}{\mathop{\lim }}\,\frac{\cos x}{x}
  3. limx0+lnx\underset{x\to {{0}^{+}}}{\mathop{\lim }}\,\ln x

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