# 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 $$f(2)=0$$.