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--- pow:problem1s22 [2022/02/15 05:14] – created mazur
+++ pow:problem1s22 [2022/02/15 06:00] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 85% round orange| Problem 1 (due on Monday, February 14) >
+Let $f:(0,\infty)\longrightarrow \mathbb R$ be a continuously differentiable function such that
+$\displaystyle \lim_{x\to\infty} (f(x)+2f'(x))=1$. Prove that $\displaystyle \lim_{x\to\infty}f'(x)=0$.
+</box>
+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 {{:pow:2022sproblem1.pdf|Solution}}.