Assertion : The largest term in the sequence a_ n = n^ 2 n^ 3 +200 , n N: (400)^ 2 / 3…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Assertion : The largest term in the sequence
\(a_{n}=\frac{n^{2}}{n^{3}+200}, n \in N: \frac{(400)^{2 / 3}}{600} .\)
Reason : \(f(x)=\frac{x^{2}}{x^{3}+200}, x>0,\) then at x = (400)1/3,
f (x) is maximum.
\(a_{n}=\frac{n^{2}}{n^{3}+200}, n \in N: \frac{(400)^{2 / 3}}{600} .\)
Reason : \(f(x)=\frac{x^{2}}{x^{3}+200}, x>0,\) then at x = (400)1/3,
f (x) is maximum.
- 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
(D) If Assertion is false, Reason is true.
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