Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (5+3*x)/(-5+x)
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Limit of (-9+x^2)/(15+x^2-8*x)
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Limit of (-1+x)/log(x)
- Limit of (a+x^2-x*(1+a))/(x^3-a^3)
- Graphing y =:
- 1/y
- Integral of d{x}:
- 1/y
- Derivative of:
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1/y
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Identical expressions
- one /y
- 1 divide by y
- one divide by y
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Similar expressions
- (x^2-y^2)*sin(1/(y^2-x^2))
Limit of the function 1/y
The solution
You have entered
[src]
/ 1\ lim |1*-| y->0+\ y/
$$\lim_{y \to 0^+}\left(1 \cdot \frac{1}{y}\right)$$
Limit(1/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
The graph
Other limits y→0, -oo, +oo, 1
$$\lim_{y \to 0^-}\left(1 \cdot \frac{1}{y}\right) = \infty$$
More at y→0 from the left
$$\lim_{y \to 0^+}\left(1 \cdot \frac{1}{y}\right) = \infty$$
$$\lim_{y \to \infty}\left(1 \cdot \frac{1}{y}\right) = 0$$
More at y→oo
$$\lim_{y \to 1^-}\left(1 \cdot \frac{1}{y}\right) = 1$$
More at y→1 from the left
$$\lim_{y \to 1^+}\left(1 \cdot \frac{1}{y}\right) = 1$$
More at y→1 from the right
$$\lim_{y \to -\infty}\left(1 \cdot \frac{1}{y}\right) = 0$$
More at y→-oo
More at y→0 from the left
$$\lim_{y \to 0^+}\left(1 \cdot \frac{1}{y}\right) = \infty$$
$$\lim_{y \to \infty}\left(1 \cdot \frac{1}{y}\right) = 0$$
More at y→oo
$$\lim_{y \to 1^-}\left(1 \cdot \frac{1}{y}\right) = 1$$
More at y→1 from the left
$$\lim_{y \to 1^+}\left(1 \cdot \frac{1}{y}\right) = 1$$
More at y→1 from the right
$$\lim_{y \to -\infty}\left(1 \cdot \frac{1}{y}\right) = 0$$
More at y→-oo
One‐sided limits
[src]
/ 1\ lim |1*-| y->0+\ y/
$$\lim_{y \to 0^+}\left(1 \cdot \frac{1}{y}\right)$$
oo
$$\infty$$
= 151.0
/ 1\ lim |1*-| y->0-\ y/
$$\lim_{y \to 0^-}\left(1 \cdot \frac{1}{y}\right)$$
-oo
$$-\infty$$
= -151.0
= -151.0
The graph