Mister Exam
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- Limit of the function:
- Limit of (1+2*x/3)^(3251035981008077*x/140737488355328)
-
Limit of ((2+x)/x)^(x*log(3))
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Limit of ((2+x)/(1+x))^(3*x)
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Limit of e^x*(-2+x)
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Identical expressions
- e^x*(- two +x)
- e to the power of x multiply by ( minus 2 plus x)
- e to the power of x multiply by ( minus two plus x)
- ex*(-2+x)
- ex*-2+x
- e^x(-2+x)
- ex(-2+x)
- ex-2+x
- e^x-2+x
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Similar expressions
- e^x*(2+x)
- e^x*(-2-x)
Limit of the function e^x*(-2+x)
The solution
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/ x \ lim \E *(-2 + x)/ x->oo
$$\lim_{x \to \infty}\left(e^{x} \left(x - 2\right)\right)$$
Limit(E^x*(-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
$$\lim_{x \to \infty}\left(e^{x} \left(x - 2\right)\right) = \infty$$
$$\lim_{x \to 0^-}\left(e^{x} \left(x - 2\right)\right) = -2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x} \left(x - 2\right)\right) = -2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x} \left(x - 2\right)\right) = - e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} \left(x - 2\right)\right) = - e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x} \left(x - 2\right)\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(e^{x} \left(x - 2\right)\right) = -2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x} \left(x - 2\right)\right) = -2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x} \left(x - 2\right)\right) = - e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} \left(x - 2\right)\right) = - e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x} \left(x - 2\right)\right) = 0$$
More at x→-oo
The graph