Limits Continuity And Differentiability Question 68
Question: If $ . \begin{cases} & f(x)=sinx,when x is rational \\ & =\cos x,when x is irrational \\ \end{cases} $
Options:
A) Discontinuous at $ x=n\pi +\pi /4 $
B) Continuous at $ x=n\pi +\pi /4 $
C) Discontinuous at all x
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
The function can be continuous only at those points for which $ \sin x=\cos x\Rightarrow x=n\pi +\frac{\pi }{4} $
BETA
