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Limit of the function/ x+|x|

Limit of the function x+|x|

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You have entered [src] 
 lim (x + |x|)
x->0+
$$\lim_{x \to 0^+}\left(x + \left|{x}\right|\right)$$ 
Limit(x + |x|, x, 0)
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
Plot the graph
One‐sided limits [src] 
 lim (x + |x|)
x->0+
$$\lim_{x \to 0^+}\left(x + \left|{x}\right|\right)$$ 
0
$$0$$ 
= 1.71127851547238e-32
 lim (x + |x|)
x->0-
$$\lim_{x \to 0^-}\left(x + \left|{x}\right|\right)$$ 
0
$$0$$ 
= 0.0
= 0.0
Rapid solution [src] 
0
$$0$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x + \left|{x}\right|\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + \left|{x}\right|\right) = 0$$
$$\lim_{x \to \infty}\left(x + \left|{x}\right|\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x + \left|{x}\right|\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + \left|{x}\right|\right) = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + \left|{x}\right|\right) = 0$$
More at x→-oo
Numerical answer [src] 
1.71127851547238e-32
1.71127851547238e-32
The graph
Limit of the function x+|x|
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