Let f(x)=sinx and g(x)=x Statement-1: f(x)≤gx(∀x)∈0,∞() i.e., sinx≤x∀x∈(0,∞) which is true Statement-2: f(x)≤1∀x∈0,∞() i.e., sinx≤1∀x∈(0,∞) It is true and g(x)=x→∞ as x→∞ also true.
Let f(x)=sinx,g(x)=x. Statement 1: f(x)⩽gx( for )x in (0,∞) Statement 2: f(x)≤1 for x in (0,∞) but g(x)→∞ as x→∞.
Held on 7 May 2012 · Verified 6 Jul 2026.
Statement 1 is true, Statement 2 is false.
Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.
Statement 1 is false, Statement 2 is true.
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