Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (5+x-3*x^2)/(4-x+2*x^2)
-
Limit of (4-x^2)/(3-x^2)
-
Limit of (3+2*x)/(1-5*x)
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Limit of (1-2*cos(x))/sin(3*x)
- Derivative of:
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x^2-6*x
- Factor polynomial:
- x^2-6*x
- Integral of d{x}:
- x^2-6*x
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Identical expressions
- x^ two - six *x
- x squared minus 6 multiply by x
- x to the power of two minus six multiply by x
- x2-6*x
- x²-6*x
- x to the power of 2-6*x
- x^2-6x
- x2-6x
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Similar expressions
- (-9+x^2)/(x^3-x^2-6*x)
- (8+x^2-6*x)/(10+x^2-7*x)
- (-27+x^3)/(9+x^2-6*x)
- (8+x^2-6*x)/(-4+x^2-3*x)
- x^2+6*x
- (1+x+x^2)/(x^2-6*x)
Limit of the function x^2-6*x
The solution
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[src]
/ 2 \ lim \x - 6*x/ x->0+
$$\lim_{x \to 0^+}\left(x^{2} - 6 x\right)$$
Limit(x^2 - 6*x, x, 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
The graph
One‐sided limits
[src]
/ 2 \ lim \x - 6*x/ x->0+
$$\lim_{x \to 0^+}\left(x^{2} - 6 x\right)$$
0
$$0$$
= -1.48168935459259e-31
/ 2 \ lim \x - 6*x/ x->0-
$$\lim_{x \to 0^-}\left(x^{2} - 6 x\right)$$
0
$$0$$
= -4.5492224530916e-32
= -4.5492224530916e-32
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x^{2} - 6 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} - 6 x\right) = 0$$
$$\lim_{x \to \infty}\left(x^{2} - 6 x\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{2} - 6 x\right) = -5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} - 6 x\right) = -5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} - 6 x\right) = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} - 6 x\right) = 0$$
$$\lim_{x \to \infty}\left(x^{2} - 6 x\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{2} - 6 x\right) = -5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} - 6 x\right) = -5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} - 6 x\right) = \infty$$
More at x→-oo
The graph