The integralconvergesfor all
a. Find
b. Provethat , for all.
c. Provethat
- Referto the GammaFunctiondefinedin the previousexerciseto provethat
(a) [Hint:Let ]
(b) [Hint:Let ]
- In wavemechanics,a sawtoothwaveis describedby the integral
where is calledthe wavenumber, is the frequency, and is the time variable.Evaluatethe integral.
Answers
divergent
a.