Solutions 1. (32 Marks) Find the following: (a) lim x→+∞(1 + x)1/x. Solution By L'Hospital's rule lim x→+∞ log(1 + x) x = lim x→+∞ 1 1+x 1 = 0. By the continuity of ex, we have lim x→+∞(1 + x)1/x = limx→+∞ e log(1+x) x = e0 = 1.
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