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in Limit, continuity and differentiability by (41.7k points)

Let L = lim(x → 0) (a - (a2 - x2) - x2/4)/x4, a > 0.  If L is finite, then

(A) a = 2

(B) a = 1

(C) L = 1/64

(D) L = 1/32

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