Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -cos(x)+5*x
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Limit of (-30+x^2-x)/(125+x^3)
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Limit of sin(9*x)
- Limit of cot(pi*x)
- Derivative of:
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6*x^2
- Integral of d{x}:
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6*x^2
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Identical expressions
- six *x^ two
- 6 multiply by x squared
- six multiply by x to the power of two
- 6*x2
- 6*x²
- 6*x to the power of 2
- 6x^2
- 6x2
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Similar expressions
- sin(6*x)^2/(x*tan(x/2))
- (-1+x+6*x^2)/(1/2+x)
- (1-5*x+6*x^2)/(-1/3+x)
- (-1+8*x^3)/(1-5*x+6*x^2)
Limit of the function 6*x^2
The solution
You have entered
[src]
/ 2\ lim \6*x / x->0+
$$\lim_{x \to 0^+}\left(6 x^{2}\right)$$
Limit(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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(6 x^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(6 x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(6 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(6 x^{2}\right) = 6$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(6 x^{2}\right) = 6$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(6 x^{2}\right) = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(6 x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(6 x^{2}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(6 x^{2}\right) = 6$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(6 x^{2}\right) = 6$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(6 x^{2}\right) = \infty$$
More at x→-oo
One‐sided limits
[src]
/ 2\ lim \6*x / x->0+
$$\lim_{x \to 0^+}\left(6 x^{2}\right)$$
0
$$0$$
= -5.80983479970524e-31
/ 2\ lim \6*x / x->0-
$$\lim_{x \to 0^-}\left(6 x^{2}\right)$$
0
$$0$$
= -5.80983479970524e-31
= -5.80983479970524e-31
The graph