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Let f(x) be a differentiable function such that f′(0)=1, and the sequence {an} is defined as a1=2 and an=limx→∞x2(f(an−1x)−f(0))2 for n≥2. If the value of 10∏i=1ai=2k, then the value of k is |
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Answer» Let f(x) be a differentiable function such that f′(0)=1, and the sequence {an} is defined as a1=2 and an=limx→∞x2(f(an−1x)−f(0))2 for n≥2. If the value of 10∏i=1ai=2k, then the value of k is |
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