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Problem 1 (due on Monday, February 14)
Let f:(0,∞)⟶R be a continuously differentiable function such that limx→∞(f(x)+2f′(x))=1. Prove that limx→∞f′(x)=0.
We received a solution from Ashton Keith. Ashton's ideas are similar to our second solution, but his solution lacks sufficient rigor. For detailed solution see the following link Solution.