- #1
Raghav Gupta
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Homework Statement
1. The period of the function f(x) = tanπx + x - [x], where [.] is the greatest integer or floor function is?
2. The period of the function f(x) = sin2πx + x - [x], where [.] is the greatest integer or floor function is?
Homework Equations
For sin (ax+ b) + c where a,b,c are constants the period is 2π/a
For tan(ax+ b) + c where a,b,c are constants the period is π/a
The Attempt at a Solution
In first problem one can do π/π and say period of it is one. But the terms x - [x] has also to be looked.
How also to say that it is periodic?
I know the definition for periodicity,
ƒ(x + T) = f(x) for any x, where T is time period.
But how to check it in this complex seeming equations?
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