Mister Exam

Other calculators:

x^(4/5)
Limit of the function/ x^(4/5)

Limit of the function x^(4/5)

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
      4/5
 lim x   
x->oo
lim⁡x→∞x45\lim_{x \to \infty} x^{\frac{4}{5}} 
Limit(x^(4/5), x, oo, dir='-')
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
02468-8-6-4-2-1010010
Plot the graph
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞x45=∞\lim_{x \to \infty} x^{\frac{4}{5}} = \infty
lim⁡x→0−x45=0\lim_{x \to 0^-} x^{\frac{4}{5}} = 0
More at x→0 from the left
lim⁡x→0+x45=0\lim_{x \to 0^+} x^{\frac{4}{5}} = 0
More at x→0 from the right
lim⁡x→1−x45=1\lim_{x \to 1^-} x^{\frac{4}{5}} = 1
More at x→1 from the left
lim⁡x→1+x45=1\lim_{x \to 1^+} x^{\frac{4}{5}} = 1
More at x→1 from the right
lim⁡x→−∞x45=∞(−1)45\lim_{x \to -\infty} x^{\frac{4}{5}} = \infty \left(-1\right)^{\frac{4}{5}}
More at x→-oo
The graph
Limit of the function x^(4/5)
    © Mister Exam – Calculator