Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (1+x^3-2*x)/(5+x+2*x^4)
-
Limit of (-2+x+x^2)/(1+x+x^2)
-
Limit of (-2+x^2-x)/(-2-3*x+2*x^2)
-
Limit of (-20+x^2-x)/(12+x^2+7*x)
-
Identical expressions
- x*log(x)/(ten *log(ten *x))
- x multiply by logarithm of (x) divide by (10 multiply by logarithm of (10 multiply by x))
- x multiply by logarithm of (x) divide by (ten multiply by logarithm of (ten multiply by x))
- xlog(x)/(10log(10x))
- xlogx/10log10x
- x*log(x) divide by (10*log(10*x))
Limit of the function x*log(x)/(10*log(10*x))
The solution
You have entered
[src]
/ x*log(x) \ lim |------------| x->oo\10*log(10*x)/
$$\lim_{x \to \infty}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right)$$
Limit((x*log(x))/((10*log(10*x))), x, oo, dir='-')
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = \infty$$
$$\lim_{x \to 0^-}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x \log{\left(x \right)}}{10 \log{\left(10 x \right)}}\right) = -\infty$$
More at x→-oo
The graph