Let $$f(x)=\frac{x}{x}$$ be defined on $\mathbb R\setminus \{0\}$. Show that $$\lim\limits_{x\to 0}f(x) = 1$$ without using l'Hospital's rule.
Evaluate the limit without l'Hospital's rule
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calculus
limits
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3You do not need any approach... Just tell: how much is $x$ divided by $x$? – 2012-12-06