Title: L'Hopital's Rule PreVideo Questions
Course: Calculus I

Q: The graphs of f and g and the equations of their tangent lines (dashed lines) at the point (3, 0) are given below. Note: f(3) and g(3)= 0.
[Image: image]
Use the graphs of f and g and the equations of their tangent lines at (3,0) to evaluate (lim)_(x → 3)(f(x))/(g(x)).
- 0 (Incorrect)
- 0.66 (Incorrect)
- 1.47 (Incorrect)
- 1.47/0.66 (Correct)
- -4.38/-1.97 (Incorrect)
- 3 (Incorrect)
- ∞ (Incorrect)
- DNE (not including an infinite limit) (Incorrect)
A: 1.47/0.66

Q: Evaluate the limit:(lim)_(x → ∞)(x)^(2)(e)^(- x)
- -∞ (Incorrect)
- -2 (Incorrect)
- 0 (Correct)
- 2 (Incorrect)
- ∞ (Incorrect)
- DNE (not including an infinite limit) (Incorrect)
A: 0

Q: Evaluate the limit: (lim)_(x → π)(sin(2 x))/(x - π)
- 0 (Incorrect)
- 1 (Incorrect)
- 2 (Correct)
- 𝜋 (Incorrect)
- ∞ (Incorrect)
- DNE (not including an infinite limit) (Incorrect)
A: 2