You may have observed that the Lagrange interpolating p(x) always goes to ±∞ when x → ±∞. This may be explained by the following facts: ⚫ The Lagrange interpolating polynomial p(x) has degree N - 1 if it interpolates N points: ⚫ Given any polynomial q(x) = x + aм-1xΜ−¹ + ... + a₁ x² + do then lim x-100x q(x) = aм- Question 2 a. Prove the above limit equation. You may assume that the limit of a sum is the sum of the limits (when they exist), and that limx→∞ x = 0 if m<0. (This is a Calc 1 exercise. If you don't remember how to prove it, find a Calc 1 book. )

Describe all points that are 3 units away from the x-axis. What geometric structure do these points create?

PLEASE DO THIS WITHOUT A CALCULATOR. answer must match one of the answer choices. there is only one right answer. if your answer is none of these please check your math that answer choice is wrong.

The blue line is a called a line. The red line is called a line.