Evaluate the validity of applying L’Hospital’s Rule to x→0lim∣x∣x2+1−1. Which statement is most accurate?
a) L’Hospital’s Rule cannot be applied because the limit is not of the form 0/0 or ∞/∞.
b) L’Hospital’s Rule can be applied because both functions are differentiable on an open interval containing 0 except possibly at 0, and dxd∣x∣=0 for x=0 in that interval.
c) L’Hospital’s Rule can be applied solely because both numerator and denominator approach 0.
d) L’Hospital’s Rule cannot be applied because ∣x∣ is not differentiable at x=0.