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9/x
Limit of the function/ 9/x

Limit of the function 9/x

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     /9\
 lim |-|
x->0+\x/
lim⁡x→0+(9x)\lim_{x \to 0^+}\left(\frac{9}{x}\right) 
Limit(9/x, x, 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
02468-8-6-4-2-1010-20002000
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(9x)=∞\lim_{x \to 0^-}\left(\frac{9}{x}\right) = \infty
More at x→0 from the left
lim⁡x→0+(9x)=∞\lim_{x \to 0^+}\left(\frac{9}{x}\right) = \infty
lim⁡x→∞(9x)=0\lim_{x \to \infty}\left(\frac{9}{x}\right) = 0
More at x→oo
lim⁡x→1−(9x)=9\lim_{x \to 1^-}\left(\frac{9}{x}\right) = 9
More at x→1 from the left
lim⁡x→1+(9x)=9\lim_{x \to 1^+}\left(\frac{9}{x}\right) = 9
More at x→1 from the right
lim⁡x→−∞(9x)=0\lim_{x \to -\infty}\left(\frac{9}{x}\right) = 0
More at x→-oo
Rapid solution [src] 
oo
∞\infty
Expand and simplify
One‐sided limits [src] 
     /9\
 lim |-|
x->0+\x/
lim⁡x→0+(9x)\lim_{x \to 0^+}\left(\frac{9}{x}\right) 
oo
∞\infty 
= 1359.0
     /9\
 lim |-|
x->0-\x/
lim⁡x→0−(9x)\lim_{x \to 0^-}\left(\frac{9}{x}\right) 
-oo
−∞-\infty 
= -1359.0
= -1359.0
Numerical answer [src] 
1359.0
1359.0
The graph
Limit of the function 9/x
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