Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of (7+x+x^2)/(-1+e^x)
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Limit of ((-2+x)/(1+3*x))^(5*x)
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Limit of (-tan(2*x)+sin(2*x))/x^3
- Integral of d{x}:
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-exp(-x)
- Derivative of:
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-exp(-x)
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Identical expressions
- -exp(-x)
- minus exponent of ( minus x)
- -exp-x
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Similar expressions
- -exp(x)
- exp(-x)
- (-exp(-x^2)+exp(x^2))/x
Limit of the function -exp(-x)
The solution
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/ -x\ lim \-e / x->oo
$$\lim_{x \to \infty}\left(- e^{- x}\right)$$
Limit(-exp(-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