The Squeeze Theorem and the Limit of Sine X Over X Worksheet with Answer Key

What's on the worksheet

1. Use the squeeze theorem to find each limit.
   \displaystyle \lim_{x \to 2} (x - 2)^2 \cos \dfrac{1}{x - 2}\displaystyle \lim_{x \to 0} \dfrac{x^2}{3 + \sin \frac{1}{x}}\displaystyle \lim_{x \to 0} \left(5 + x \cos \dfrac{4}{x}\right)
2. Find each limit.
   \displaystyle \lim_{x \to 0} \dfrac{\sin 3x \, \sin 5x}{x \tan 2x}\displaystyle \lim_{x \to 0} \dfrac{1 - \cos 4x}{\sin^2 3x}\displaystyle \lim_{x \to 0^+} \dfrac{\tan x}{\sqrt{x}}
3. A function f satisfies $|f
4. Find _x 0 5x + 8x 5x.
5. Find _x 3 2π xx² - 9.
6. Priya draws a regular polygon with n sides inside a circle of radius 6 cm, with every corner on the circle.
7. All that Mateo knows about a function f is that $0 \le f