Problem 1:
For what values of x, is (a) (b)
?
Problem 2:
Which real numbers x satisfy the equation ?
Problem 3:
Does for all real x? Give reasons for your answer.
Problem 4:
Graph: when
; and
, when
.
Why is f(x) called the integer part of x? Discuss the continuity and differentiability of f(x).
Cheers,
Nalin Pithwa