(b) lim∞ xn, where x₁ = 1 and Xn+1 = xn +3 5 [Hint: Show that this limit exists.]

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?

What is the purpose of the Intermediate Value Theorem?

Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?