Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
-
Limit of 1-cos(3*x)
-
Limit of ((6+5*x)/(-1+5*x))^((1+2*x^2)/x)
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Limit of (-3*5^(1+x)+5*2^x)/(2*5^x+100*2^x)
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Limit of (4^x-9^x)/(4^(1+x)+9^(1+x))
- Derivative of:
- x^3*(2-x)
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Identical expressions
- x^ three *(two -x)
- x cubed multiply by (2 minus x)
- x to the power of three multiply by (two minus x)
- x3*(2-x)
- x3*2-x
- x³*(2-x)
- x to the power of 3*(2-x)
- x^3(2-x)
- x3(2-x)
- x32-x
- x^32-x
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Similar expressions
- x^3*(2+x)
Limit of the function x^3*(2-x)
The solution
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/ 3 \ lim \x *(2 - x)/ x->oo
$$\lim_{x \to \infty}\left(x^{3} \left(2 - x\right)\right)$$
Limit(x^3*(2 - x), x, oo, dir='-')
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
$$\lim_{x \to \infty}\left(x^{3} \left(2 - x\right)\right) = -\infty$$
$$\lim_{x \to 0^-}\left(x^{3} \left(2 - x\right)\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} \left(2 - x\right)\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} \left(2 - x\right)\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} \left(2 - x\right)\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} \left(2 - x\right)\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x^{3} \left(2 - x\right)\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} \left(2 - x\right)\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} \left(2 - x\right)\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} \left(2 - x\right)\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} \left(2 - x\right)\right) = -\infty$$
More at x→-oo
The graph