Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (5-4*x+3*x^2)/(1-x+2*x^2)
-
Limit of ((1+2*x)/(-1+x))^(4*x)
-
Limit of (4+x^2-5*x)/(-16+x^2)
-
Limit of sinh(x)/x
- Graphing y =:
- x^log(x)
- Derivative of:
-
x^log(x)
-
Identical expressions
- x^log(x)
- x to the power of logarithm of (x)
- xlog(x)
- xlogx
- x^logx
-
Similar expressions
- x^log(x^2)/(5+x^3)
Limit of the function x^log(x)
The solution
You have entered
[src]
log(x) lim x x->1+
$$\lim_{x \to 1^+} x^{\log{\left(x \right)}}$$
Limit(x^log(x), x, 1)
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
One‐sided limits
[src]
log(x) lim x x->1+
$$\lim_{x \to 1^+} x^{\log{\left(x \right)}}$$
1
$$1$$
= 1.0
log(x) lim x x->1-
$$\lim_{x \to 1^-} x^{\log{\left(x \right)}}$$
1
$$1$$
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-} x^{\log{\left(x \right)}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{\log{\left(x \right)}} = 1$$
$$\lim_{x \to \infty} x^{\log{\left(x \right)}} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} x^{\log{\left(x \right)}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{\log{\left(x \right)}} = \infty$$
More at x→0 from the right
$$\lim_{x \to -\infty} x^{\log{\left(x \right)}} = \infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} x^{\log{\left(x \right)}} = 1$$
$$\lim_{x \to \infty} x^{\log{\left(x \right)}} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} x^{\log{\left(x \right)}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{\log{\left(x \right)}} = \infty$$
More at x→0 from the right
$$\lim_{x \to -\infty} x^{\log{\left(x \right)}} = \infty$$
More at x→-oo
The graph