Let f:[12,1]→R be a positive, non-constant and differentiable functi – InterviewSolution

1.	Let f:[12,1]→R be a positive, non-constant and differentiable function such that f′(x)<2f(x) and f(12)=1. Then, the value of 1∫12f(x)dx lies in the interval
Answer» Let $f : [\frac{1}{2}, 1] \to R$ be a positive, non-constant and differentiable function such that $f^{'} (x) < 2 f (x)$ and $f (\frac{1}{2}) = 1$ . Then, the value of $1 \int \frac{1}{2} f (x) d x$ lies in the interval

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