Question: For any real number x, the ceiling function [x] is the smallest integer greater than or equal to x. a. Graph the ceiling function y

For any real number x, the ceiling function [x] is the smallest integer greater than or equal to x.

a. Graph the ceiling function y = [x], for -2 ≤ x ≤ 3.

b. Evaluate limx→2- [x], limx→1+ [x], and limx→1.5 [x].

c. For what values of a does limx→a [x] exist? Explain.

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