Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((2+x)/(4+x))^cos(x)
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Limit of -5-2*x^2+8*x
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Limit of (-9+x^2)/(-27+x^3)
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Limit of 1+7*x+11*x^2/2
- Graphing y =:
- x*|x|
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Identical expressions
- x*|x|
- x multiply by module of x|
- x|x|
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Similar expressions
- (-5+x)*|x|/x
Limit of the function x*|x|
The solution
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[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
One‐sided limits
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lim (x*|x|) x->0+
$$\lim_{x \to 0^+}\left(x \left|{x}\right|\right)$$
0
$$0$$
= -9.68305799950874e-32
lim (x*|x|) x->0-
$$\lim_{x \to 0^-}\left(x \left|{x}\right|\right)$$
0
$$0$$
= 9.68305799950874e-32
= 9.68305799950874e-32
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
$$\lim_{x \to 1^-}\left(x \left|{x}\right|\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \left|{x}\right|\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \left|{x}\right|\right) = -\infty$$
More at x→-oo
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
$$\lim_{x \to 1^-}\left(x \left|{x}\right|\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \left|{x}\right|\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \left|{x}\right|\right) = -\infty$$
More at x→-oo
The graph