Mister Exam
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How to use it?
- Limit of the function:
- Limit of (1/factorial(x))^(1/x)
- Limit of (1+cos(3*x))^(1/cos(x))
-
Limit of (1-cos(2*x))/(1-cos(4*x))
-
Limit of (1-4*x)/(-2+5*x)
- Derivative of:
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x^3-6*x^2
- Graphing y =:
- x^3-6*x^2
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Identical expressions
- x^ three - six *x^ two
- x cubed minus 6 multiply by x squared
- x to the power of three minus six multiply by x to the power of two
- x3-6*x2
- x³-6*x²
- x to the power of 3-6*x to the power of 2
- x^3-6x^2
- x3-6x2
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Similar expressions
- x^3+6*x^2
Limit of the function x^3-6*x^2
The solution
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/ 3 2\ lim \x - 6*x / x->0+
$$\lim_{x \to 0^+}\left(x^{3} - 6 x^{2}\right)$$
Limit(x^3 - 6*x^2, 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]
/ 3 2\ lim \x - 6*x / x->0+
$$\lim_{x \to 0^+}\left(x^{3} - 6 x^{2}\right)$$
0
$$0$$
= 1.10330120971338e-30
/ 3 2\ lim \x - 6*x / x->0-
$$\lim_{x \to 0^-}\left(x^{3} - 6 x^{2}\right)$$
0
$$0$$
= 5.86657502276647e-32
= 5.86657502276647e-32
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x^{3} - 6 x^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} - 6 x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(x^{3} - 6 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{3} - 6 x^{2}\right) = -5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} - 6 x^{2}\right) = -5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} - 6 x^{2}\right) = -\infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} - 6 x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(x^{3} - 6 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x^{3} - 6 x^{2}\right) = -5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} - 6 x^{2}\right) = -5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} - 6 x^{2}\right) = -\infty$$
More at x→-oo
The graph