Mister Exam

Other calculators:

1/x
Limit of the function/ 1/x

Limit of the function 1/x

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     1
 lim -
x->0+x
lim⁡x→0+1x\lim_{x \to 0^+} \frac{1}{x} 
Limit(1/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
02468-8-6-4-2-1010-200200
Plot the graph
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−1x=∞\lim_{x \to 0^-} \frac{1}{x} = \infty
More at x→0 from the left
lim⁡x→0+1x=∞\lim_{x \to 0^+} \frac{1}{x} = \infty
lim⁡x→∞1x=0\lim_{x \to \infty} \frac{1}{x} = 0
More at x→oo
lim⁡x→1−1x=1\lim_{x \to 1^-} \frac{1}{x} = 1
More at x→1 from the left
lim⁡x→1+1x=1\lim_{x \to 1^+} \frac{1}{x} = 1
More at x→1 from the right
lim⁡x→−∞1x=0\lim_{x \to -\infty} \frac{1}{x} = 0
More at x→-oo
One‐sided limits [src] 
     1
 lim -
x->0+x
lim⁡x→0+1x\lim_{x \to 0^+} \frac{1}{x} 
oo
∞\infty 
= 151.0
     1
 lim -
x->0-x
lim⁡x→0−1x\lim_{x \to 0^-} \frac{1}{x} 
-oo
−∞-\infty 
= -151.0
= -151.0
Numerical answer [src] 
151.0
151.0
The graph
Limit of the function 1/x
    © Mister Exam – Calculator