Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-2*x^2+4*x^3+5*x)/(3*x^2+7*x)
-
Limit of (1-3*x^2+2*x^3)/(x^3+2*x+4*x^2)
-
Limit of 5+3*n
-
Limit of (1-cos(4*x))/(5*x)
- Derivative of:
-
x-sqrt(x)
- Graphing y =:
- x-sqrt(x)
- Integral of d{x}:
- x-sqrt(x)
-
Identical expressions
- x-sqrt(x)
- x minus square root of (x)
- x-√(x)
- x-sqrtx
-
Similar expressions
- x-sqrt(x^2-x)
- sqrt(x^2+2*x)-sqrt(x^2+3*x)
- 1/(sqrt(1+x)-sqrt(x))
- x-sqrt(x^2-3*x)
- sqrt(1+x^2-4*x)-sqrt(x+x^2)
- x+sqrt(x)
Limit of the function x-sqrt(x)
The solution
You have entered
[src]
/ ___\ lim \x - \/ x / x->1+
$$\lim_{x \to 1^+}\left(- \sqrt{x} + x\right)$$
Limit(x - sqrt(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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(- \sqrt{x} + x\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \sqrt{x} + x\right) = 0$$
$$\lim_{x \to \infty}\left(- \sqrt{x} + x\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(- \sqrt{x} + x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \sqrt{x} + x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(- \sqrt{x} + x\right) = -\infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \sqrt{x} + x\right) = 0$$
$$\lim_{x \to \infty}\left(- \sqrt{x} + x\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(- \sqrt{x} + x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \sqrt{x} + x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(- \sqrt{x} + x\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ ___\ lim \x - \/ x / x->1+
$$\lim_{x \to 1^+}\left(- \sqrt{x} + x\right)$$
0
$$0$$
= -1.06414145882481e-30
/ ___\ lim \x - \/ x / x->1-
$$\lim_{x \to 1^-}\left(- \sqrt{x} + x\right)$$
0
$$0$$
= -7.17592337510183e-33
= -7.17592337510183e-33
The graph