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Limit of the function/ 1/y

Limit of the function 1/y

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The solution

You have entered [src] 
     /  1\
 lim |1*-|
y->0+\  y/
lim⁡y→0+(1⋅1y)\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
02468-8-6-4-2-1010-200200
Plot the graph
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits y→0, -oo, +oo, 1
lim⁡y→0−(1⋅1y)=∞\lim_{y \to 0^-}\left(1 \cdot \frac{1}{y}\right) = \infty
More at y→0 from the left
lim⁡y→0+(1⋅1y)=∞\lim_{y \to 0^+}\left(1 \cdot \frac{1}{y}\right) = \infty
lim⁡y→∞(1⋅1y)=0\lim_{y \to \infty}\left(1 \cdot \frac{1}{y}\right) = 0
More at y→oo
lim⁡y→1−(1⋅1y)=1\lim_{y \to 1^-}\left(1 \cdot \frac{1}{y}\right) = 1
More at y→1 from the left
lim⁡y→1+(1⋅1y)=1\lim_{y \to 1^+}\left(1 \cdot \frac{1}{y}\right) = 1
More at y→1 from the right
lim⁡y→−∞(1⋅1y)=0\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→0+(1⋅1y)\lim_{y \to 0^+}\left(1 \cdot \frac{1}{y}\right) 
oo
∞\infty 
= 151.0
     /  1\
 lim |1*-|
y->0-\  y/
lim⁡y→0−(1⋅1y)\lim_{y \to 0^-}\left(1 \cdot \frac{1}{y}\right) 
-oo
−∞-\infty 
= -151.0
= -151.0
Numerical answer [src] 
151.0
151.0
The graph
Limit of the function 1/y
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