# Calculus (Limits)

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f(x) is a function differentiable at x=1 and f′(1)=1/13. What is the limit of (x^3 - 1)/f(x) - f(1) as x approaches 1?

• Calculus (Limits) -

using L'Hospital's Rule,

lim = (3x^2-1)/(f'(1)-0) = 3/(1/13) = 39

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