Practice problem
Let f(x)f(x)f(x) be a continuously decreasing function on (−∞,+∞)(-\infty, +\infty)(−∞,+∞). Also let f(x)+f′(x)=0f(x) + f'(x) = 0f(x)+f′(x)=0 and f(0)=1f(0) = 1f(0)=1. Compute limx→0f(x)−1x.\lim_{x\to 0} \frac{ f(x)-1 }x.x→0limxf(x)−1.
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Type a concept, like “slope” or “photosynthesis”.
