Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -2+|-2+x|/x
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Limit of 9-4*e^x
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of 1+cos(pi*x)/tan(pi*x)^2
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Identical expressions
- -x/y
- minus x divide by y
- -x divide by y
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Similar expressions
- x/y
Limit of the function -x/y
The solution
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/-x \ lim |---| y->0+\ y /
$$\lim_{y \to 0^+}\left(\frac{\left(-1\right) x}{y}\right)$$
Limit((-x)/y, y, 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
Other limits y→0, -oo, +oo, 1
$$\lim_{y \to 0^-}\left(\frac{\left(-1\right) x}{y}\right) = - \infty \operatorname{sign}{\left(x \right)}$$
More at y→0 from the left
$$\lim_{y \to 0^+}\left(\frac{\left(-1\right) x}{y}\right) = - \infty \operatorname{sign}{\left(x \right)}$$
$$\lim_{y \to \infty}\left(\frac{\left(-1\right) x}{y}\right) = 0$$
More at y→oo
$$\lim_{y \to 1^-}\left(\frac{\left(-1\right) x}{y}\right) = - x$$
More at y→1 from the left
$$\lim_{y \to 1^+}\left(\frac{\left(-1\right) x}{y}\right) = - x$$
More at y→1 from the right
$$\lim_{y \to -\infty}\left(\frac{\left(-1\right) x}{y}\right) = 0$$
More at y→-oo
More at y→0 from the left
$$\lim_{y \to 0^+}\left(\frac{\left(-1\right) x}{y}\right) = - \infty \operatorname{sign}{\left(x \right)}$$
$$\lim_{y \to \infty}\left(\frac{\left(-1\right) x}{y}\right) = 0$$
More at y→oo
$$\lim_{y \to 1^-}\left(\frac{\left(-1\right) x}{y}\right) = - x$$
More at y→1 from the left
$$\lim_{y \to 1^+}\left(\frac{\left(-1\right) x}{y}\right) = - x$$
More at y→1 from the right
$$\lim_{y \to -\infty}\left(\frac{\left(-1\right) x}{y}\right) = 0$$
More at y→-oo
One‐sided limits
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/-x \ lim |---| y->0+\ y /
$$\lim_{y \to 0^+}\left(\frac{\left(-1\right) x}{y}\right)$$
-oo*sign(x)
$$- \infty \operatorname{sign}{\left(x \right)}$$
/-x \ lim |---| y->0-\ y /
$$\lim_{y \to 0^-}\left(\frac{\left(-1\right) x}{y}\right)$$
oo*sign(x)
$$\infty \operatorname{sign}{\left(x \right)}$$
oo*sign(x)