Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1/(-1+x)+2*x)^x
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Limit of (-18+12*x+27*x^3)/(-30+2*x^3+5*x+8*x^2)
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Limit of 1/(1+x^2+2*x)-1/(-1+x^2)
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Limit of (1+sin(4*x))^(1/x)
- Graphing y =:
- x-|x|
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Identical expressions
- x-|x|
- x minus module of x|
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Similar expressions
- x+|x|
Limit of the function x-|x|
The solution
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[src]
lim (x - |x|) x->-1+
$$\lim_{x \to -1^+}\left(x - \left|{x}\right|\right)$$
Limit(x - |x|, x, -1)
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -1^-}\left(x - \left|{x}\right|\right) = -2$$
More at x→-1 from the left
$$\lim_{x \to -1^+}\left(x - \left|{x}\right|\right) = -2$$
$$\lim_{x \to \infty}\left(x - \left|{x}\right|\right) = 0$$
More at x→oo
$$\lim_{x \to 0^-}\left(x - \left|{x}\right|\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x - \left|{x}\right|\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x - \left|{x}\right|\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x - \left|{x}\right|\right) = 0$$
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→-1 from the left
$$\lim_{x \to -1^+}\left(x - \left|{x}\right|\right) = -2$$
$$\lim_{x \to \infty}\left(x - \left|{x}\right|\right) = 0$$
More at x→oo
$$\lim_{x \to 0^-}\left(x - \left|{x}\right|\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x - \left|{x}\right|\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x - \left|{x}\right|\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x - \left|{x}\right|\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x - \left|{x}\right|\right) = -\infty$$
More at x→-oo
One‐sided limits
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lim (x - |x|) x->-1+
$$\lim_{x \to -1^+}\left(x - \left|{x}\right|\right)$$
-2
$$-2$$
= -2.0
lim (x - |x|) x->-1-
$$\lim_{x \to -1^-}\left(x - \left|{x}\right|\right)$$
-2
$$-2$$
= -2.0
= -2.0
The graph