Mister Exam

Other calculators:

Limit of the function/ x^y

Limit of the function x^y

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
      y
 lim x 
y->0+
$$\lim_{y \to 0^+} x^{y}$$ 
Limit(x^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
Rapid solution [src] 
1
$$1$$
Expand and simplify
One‐sided limits [src] 
      y
 lim x 
y->0+
$$\lim_{y \to 0^+} x^{y}$$ 
1
$$1$$ 
      y
 lim x 
y->0-
$$\lim_{y \to 0^-} x^{y}$$ 
1
$$1$$ 
1
Other limits y→0, -oo, +oo, 1
$$\lim_{y \to 0^-} x^{y} = 1$$
More at y→0 from the left
$$\lim_{y \to 0^+} x^{y} = 1$$
$$\lim_{y \to \infty} x^{y}$$
More at y→oo
$$\lim_{y \to 1^-} x^{y} = x$$
More at y→1 from the left
$$\lim_{y \to 1^+} x^{y} = x$$
More at y→1 from the right
$$\lim_{y \to -\infty} x^{y}$$
More at y→-oo
    © Mister Exam – Calculator