How do you find the limit of $\frac{| x |}{x}$ $absx/x$ as $x \to 2^{-}$ $x->2^-$ ?

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How do you find the limit of $\frac{| x |}{x}$ $absx/x$ as $x \to 2^{-}$ $x->2^-$ ?

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Answer 1 · 2016-10-24T12:22:28

1

Explanation:

as x tends to 2 from either side,

$\frac{| x |}{x}$ $abs(x)/x$ tends to $\frac{x}{x}$ $x/x$ , or $\frac{2}{2}$ $2/2$

which is

$1$ $1$

the absolute value makes no difference as 2 is positive and even if you approach from the bottom the x value must be positive when approaching positive 2.

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How do you find the limit of $\frac{| x |}{x}$ $absx/x$ as $x \to 2^{-}$ $x->2^-$ ?

1 Answer

Explanation:

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How do you find the limit of $\frac{| x |}{x}$ $absx/x$ as $x \to 2^{-}$ $x->2^-$ ?