Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2*x^2+4*x^3+5*x)/(3*x^2+7*x)
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Limit of (1-3*x^2+2*x^3)/(x^3+2*x+4*x^2)
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Limit of 5+3*n
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Limit of (1-cos(4*x))/(5*x)
- Derivative of:
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-e^(-x)
- Integral of d{x}:
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-e^(-x)
- Graphing y =:
- -e^(-x)
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Identical expressions
- -e^(-x)
- minus e to the power of ( minus x)
- -e(-x)
- -e-x
- -e^-x
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Similar expressions
- e^(-x)
- (e^(2*x)-e^(-x)-3*x)/x^2
- (-2-e^(-x)+3*e^x)*cot(x)
- -e^(x)
- e^x-x-e^(-x)-2*x/sin(x)
Limit of the function -e^(-x)
The solution
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/ -x\ lim \-E / x->oo
$$\lim_{x \to \infty}\left(- e^{- x}\right)$$
Limit(-E^(-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
$$\lim_{x \to \infty}\left(- e^{- x}\right) = 0$$
$$\lim_{x \to 0^-}\left(- e^{- x}\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- e^{- x}\right) = -1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- e^{- x}\right) = - \frac{1}{e}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- e^{- x}\right) = - \frac{1}{e}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- e^{- x}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(- e^{- x}\right) = -1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- e^{- x}\right) = -1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- e^{- x}\right) = - \frac{1}{e}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- e^{- x}\right) = - \frac{1}{e}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- e^{- x}\right) = -\infty$$
More at x→-oo
The graph