Functions Question 438
Question: Which of the following function are periodic?
Options:
A) $ f(x)=logx,x>0 $
B) $ f(x)=e^{x},x\in R $
C) $ f(x)=x-[x],x\in R $
D) $ f(x)=x+[x],x\in R $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ f(x)=logx $ is not periodic.; $ f(x)=e^{x} $ , is not periodic. $ f(x)=x-[x]={x}, $ has period $ 1;f(x)=x+[x] $ , is not periodic.