Question 1
When estimating limits with tables, which x-values should you use?
Question 2
What is the limit \( \lim_{{x \to -2}} \left( -7x^2 + 13x - 25 \right) \)?
Question 3
For the rational function \( f(x) = \frac{(x-1)(x-3)}{(x-2)(x-4)} \), what happens at \( x = 1 \)?
Question 4
Which of the following is a property of limits for a constant k?
Question 5
How does theorem 2.8 help in finding limits involving radicals?
Question 6
In rational functions, if the denominator is non-zero at x = c, what can be said about the limit?
Question 7
What is \( f(5) \) for the function \( f(x) = \sqrt{24 + x^2} \)?
Question 8
What happens to the limit \( \lim_{{x \to 3}} \frac{(x-1)(x-3)}{(x-2)(x-4)} \)?
Question 9
How do properties of limit help in calculations?
Question 10
Which theorem allows you to say \( \lim_{{x \to c}} f(x) = f(c) \) for polynomial functions?
Question 11
For the function \( f(x) = -7x^2 + 13x - 25 \), what is \( f(-2) \)?
Question 12
For a limit not existing due to division by zero, which condition is highlighted?
Question 13
What is the implication if a rational function's denominator equals zero at a point?
Question 14
What does the notation \( \lim_{{x \to c}} f(x) = L \) represent in calculus?
Question 15
Why don't limits always match function values at a point?