Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^2*(1/3-cos(8*x)/3)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of (-1+sin(x))/cos(x)
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Limit of (-2*sin(x)+sin(2*x))/(x*log(cos(5*x)))
- Derivative of:
- -2/3
- Integral of d{x}:
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-2/3
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Identical expressions
- - two / three
- minus 2 divide by 3
- minus two divide by three
- -2 divide by 3
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Similar expressions
- 2/3
Limit of the function -2/3
The solution
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
$$\lim_{x \to 0^-} - \frac{2}{3} = - \frac{2}{3}$$
More at x→0 from the left
$$\lim_{x \to 0^+} - \frac{2}{3} = - \frac{2}{3}$$
$$\lim_{x \to \infty} - \frac{2}{3} = - \frac{2}{3}$$
More at x→oo
$$\lim_{x \to 1^-} - \frac{2}{3} = - \frac{2}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} - \frac{2}{3} = - \frac{2}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} - \frac{2}{3} = - \frac{2}{3}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} - \frac{2}{3} = - \frac{2}{3}$$
$$\lim_{x \to \infty} - \frac{2}{3} = - \frac{2}{3}$$
More at x→oo
$$\lim_{x \to 1^-} - \frac{2}{3} = - \frac{2}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} - \frac{2}{3} = - \frac{2}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} - \frac{2}{3} = - \frac{2}{3}$$
More at x→-oo
One‐sided limits
[src]
lim (-2/3) x->0+
$$\lim_{x \to 0^+} - \frac{2}{3}$$
-2/3
$$- \frac{2}{3}$$
= -0.666666666666667
lim (-2/3) x->0-
$$\lim_{x \to 0^-} - \frac{2}{3}$$
-2/3
$$- \frac{2}{3}$$
= -0.666666666666667
= -0.666666666666667
The graph