If f(x+1)+f(x-1)=2 f(x) and f(0)=0 , then f(n) , त E N .
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
If \(f(x+1)+f(x-1)=2 f(x) \text { and } f(0)=0\), then \(f(n)\), \(\text { त E N }\).
- \(n \mathrm{f}(1)\)
- \([f(1)]^{n}\)
- \(0\)
- None of these
Answer
(A) n f (1)
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