Misconceptions

Calculus Level 2

limx0x0,limx0+0x ,limx0+xx,limx0x \lim_{x \to 0} x^0 , \quad \lim_{x \to 0^{+}} 0^x \ , \quad \lim_{x \to 0^{+}} x^x,\quad \lim_{x \to \infty} 0^x

Let A,B,C,DA,B,C,D denote the values of the 4 limits above (in that order), respectively.

Find the values of these 4 limits. Submit your answer as the 4-digit integer ABCD\overline{ABCD}.

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