The Limits of L’Hôpital

Calculus Level 2

True or False?

limxx+sinxx+1=limxddx(x+sinx)ddx(x+1)\large \lim_{x\rightarrow\infty} \frac{x + \sin x}{x+1} = \lim_{x\rightarrow\infty} \frac{\tfrac{d}{dx}(x + \sin x)}{\tfrac{d}{dx}(x+1)}

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