MATH 2301-102 and -103 Fall 2017 Calculus I Recitation 11 Week 12

See the coversheet for instructions and the point value of each problem.

    1. State the Squeeze Theorem using the template below.
      • If ...
      • then ...
    2. Use the Squeeze Theorem to evaluate \[\lim_{x\rightarrow 0} \left(x^2 \cos\left(\frac{1}{x}\right)+2\right)\,.\]
  1. Using the guidelines in section 4.4, analyze and sketch the graph of the function \[f(x) = \frac{x}{x^2-4}\,.\]
  2. Find the function \(f(x)\) for \(x \gt 0\) that has \(\displaystyle f''(x)=x^{-2}\), \(f(1)=0\), and \(f(2)=0\).

Last modified: Thu Nov 9 19:10:00 UTC 2017