Problem 729 (difficulty: 4/10)

Is it true that if \(\displaystyle f\) is 7 times differentiable on \(\displaystyle \R\), \(\displaystyle \lim_{x\to-\infty}f(x)=5\) and \(\displaystyle \lim_{x\to\infty}f(x)=3\), then \(\displaystyle f\) has an inflection point?

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