Assertion : Let f (x) be a function satisfying f (x – 1) + f (x + 1) = 2 f (x) for all x…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Assertion : Let f (x) be a function satisfying
f (x – 1) + f (x + 1) = \(\sqrt{2}\) f (x) for all x ∈ R. Then f (x) is periodic with period 8 .
Reason : For every natural number n there exists a periodic function with period n.
f (x – 1) + f (x + 1) = \(\sqrt{2}\) f (x) for all x ∈ R. Then f (x) is periodic with period 8 .
Reason : For every natural number n there exists a periodic function with period n.
- If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
- If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
- If Assertion is true, Reason is false.
- If Assertion is false, Reason is true.
Answer
(B) If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
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