数学试题讲解

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设

f (x)

连续,

lim_{x \to 0} \frac{f (x)}{x} = 1

. 求极限

lim_{x \to 0} {[1 + \int_{0}^{x} t f (x^{2} - t^{2}) d t]}^{(t a n x - x) \ln (1 + x)}