WBJEE · Maths · Functions
Choose the correct statement :
- A x + sin 2x is a periodic function
- B x + sin 2x is not a periodic function
- C \(\cos (\sqrt{x}+1)\) is a periodic function
- D \(\cos (\sqrt{x}+1)\) is not a periodic function
Answer & Solution
Correct Answer
(D) \(\cos (\sqrt{x}+1)\) is not a periodic function
Step-by-step Solution
Detailed explanation
Hint : \(f(x)=x+\sin 2 x\) is not a periodic function of \(x\) (since ' \(x\) ' is increasing function) also \(\mathrm{g}(\mathrm{x})=\cos (\sqrt{x}+1)\) is not a periodic function of \(\mathrm{x}(\) since \(g(x+T)\) can never be equal to \(g(x))\)
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