Mister Exam

Other calculators:

4^(1/x)
Limit of the function/ 4^(1/x)

Limit of the function 4^(1/x)

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     x ___
 lim \/ 4 
x->0+
lim⁡x→0+41x\lim_{x \to 0^+} 4^{\frac{1}{x}} 
Limit(4^(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
02468-8-6-4-2-1010-10000001000000
Plot the graph
One‐sided limits [src] 
     x ___
 lim \/ 4 
x->0+
lim⁡x→0+41x\lim_{x \to 0^+} 4^{\frac{1}{x}} 
oo
∞\infty 
= -2.70804900932761e-73
     x ___
 lim \/ 4 
x->0-
lim⁡x→0−41x\lim_{x \to 0^-} 4^{\frac{1}{x}} 
0
00 
= 1.45947299173832e-81
= 1.45947299173832e-81
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−41x=∞\lim_{x \to 0^-} 4^{\frac{1}{x}} = \infty
More at x→0 from the left
lim⁡x→0+41x=∞\lim_{x \to 0^+} 4^{\frac{1}{x}} = \infty
lim⁡x→∞41x=1\lim_{x \to \infty} 4^{\frac{1}{x}} = 1
More at x→oo
lim⁡x→1−41x=4\lim_{x \to 1^-} 4^{\frac{1}{x}} = 4
More at x→1 from the left
lim⁡x→1+41x=4\lim_{x \to 1^+} 4^{\frac{1}{x}} = 4
More at x→1 from the right
lim⁡x→−∞41x=1\lim_{x \to -\infty} 4^{\frac{1}{x}} = 1
More at x→-oo
Numerical answer [src] 
-2.70804900932761e-73
-2.70804900932761e-73
The graph
Limit of the function 4^(1/x)
    © Mister Exam – Calculator