Mister Exam

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|x|

Limit of the function |x|

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The solution

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 lim  |x|
x->-oo   
limxx\lim_{x \to -\infty} \left|{x}\right|
Limit(|x|, x, -oo)
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
02468-8-6-4-2-1010020
Other limits x→0, -oo, +oo, 1
limxx=\lim_{x \to -\infty} \left|{x}\right| = \infty
limxx=\lim_{x \to \infty} \left|{x}\right| = \infty
More at x→oo
limx0x=0\lim_{x \to 0^-} \left|{x}\right| = 0
More at x→0 from the left
limx0+x=0\lim_{x \to 0^+} \left|{x}\right| = 0
More at x→0 from the right
limx1x=1\lim_{x \to 1^-} \left|{x}\right| = 1
More at x→1 from the left
limx1+x=1\lim_{x \to 1^+} \left|{x}\right| = 1
More at x→1 from the right
Rapid solution [src]
oo
\infty
The graph
Limit of the function |x|