Mister Exam
Citi kalkulatori:
-
Kā lietot?
- Funkcijas robeža:
-
Robeža (-sin(x)+tan(x))/sin(x)^3
-
Robeža (2-7*x+3*x^2)/(2-5*x+2*x^2)
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Robeža (e^x-e^2)/(-2+x)
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Robeža (-asin(x)+2*x)/(2*x+atan(x))
- Funkcijas grafiks y =:
- 1/y
- Integrālis d{x}:
- 1/y
- Atvasinājums:
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1/y
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Identiskas izteiksmes
- one /y
- 1 dalīt ar y
- one dalīt ar y
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Līdzīgas izteiksmes
- (x^2-y^2)*sin(1/(y^2-x^2))
Funkcijas robeža 1/y
Risinājums
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
Grafiks