Math 161 Calculus I

Reading Outlines

You should write down answers to these questions as you read the text.

Section 2.7

1. What's $$\lim_{x\rightarrow \infty}^{}$$$${\frac{x}{\sqrt{x^2+4}}}$$?
2. If the graph of f (x) has a vertical asymptote at x = 7, what does that tell you about $$\lim_{x\rightarrow 7}^{}$$f (x)?
3. Why can't (non-constant) polynomials have horizontal asymptotes?
4. What can be said about the sum, difference, product, and quotient of continuous functions?
5. How would you explain the squeeze principle?
6. Explain graphically the difference between the statements $$\lim_{x\rightarrow \infty}^{}$$f = 3 and $$\lim_{x\rightarrow 3}^{}$$f = $$\infty$$.