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.