Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+x^2-x)/(-3+3*x+5*x^2)
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Limit of (4+x^2)/(-6+2*x)
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Limit of (-1+x^2)/(-2+x+x^2)
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Limit of ((-3+2*x)/(5+2*x))^(-1+x)
- Graphing y =:
- |x|/x
- Derivative of:
- |x|/x
- Integral of d{x}:
- |x|/x
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Identical expressions
- |x|/x
- module of x| divide by x
- |x| divide by x
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Similar expressions
- sin(|x|)/x
- (3*x+|x|)/x
Limit of the function |x|/x
The solution
You have entered
[src]
/|x|\ lim |---| x->0+\ x /
$$\lim_{x \to 0^+}\left(\frac{\left|{x}\right|}{x}\right)$$
Limit(|x|/x, x, 0)
The graph
One‐sided limits
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/|x|\ lim |---| x->0+\ x /
$$\lim_{x \to 0^+}\left(\frac{\left|{x}\right|}{x}\right)$$
1
$$1$$
= 1.0
/|x|\ lim |---| x->0-\ x /
$$\lim_{x \to 0^-}\left(\frac{\left|{x}\right|}{x}\right)$$
-1
$$-1$$
= -1.0
= -1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{\left|{x}\right|}{x}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\left|{x}\right|}{x}\right) = 1$$
$$\lim_{x \to \infty}\left(\frac{\left|{x}\right|}{x}\right) = 1$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{\left|{x}\right|}{x}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\left|{x}\right|}{x}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\left|{x}\right|}{x}\right) = -1$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\left|{x}\right|}{x}\right) = 1$$
$$\lim_{x \to \infty}\left(\frac{\left|{x}\right|}{x}\right) = 1$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{\left|{x}\right|}{x}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\left|{x}\right|}{x}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\left|{x}\right|}{x}\right) = -1$$
More at x→-oo
The graph