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The graph of y=f(x)y = f(x)y=f(x) is pictured above. For which values of aaa in {0,1,2}\{0, 1, 2\}{0,1,2} does limx→af(x)\lim_{x \to a} f(x)x→alimf(x) exist?
Based on the graphs, which limit diverges to ∞\infty∞ as x→0?x \to 0?x→0?
limx→a1x2= a (finite) number\lim_{x \to a} \frac{1}{x^2} = \text{ a (finite) number}x→alimx21= a (finite) number
For which choice of aaa is the above statement true?
Which option is true of A=limx→∞sin(x)?A = \lim_{x \to \infty} \sin\left(x\right)?A=x→∞limsin(x)?
A=limx→0xx, B=limx→0∣x∣xA = \lim_{x \to 0} \frac{x}{x}, \,\,\,\,\,B = \lim_{x \to 0} \frac{|x|}{x}A=x→0limxx,B=x→0limx∣x∣
Which limit(s) exist(s)?
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