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 x^2/(-2+sqrt(4+x^2))
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Limit of (x^2-6*x)/(6+x^2-7*x)
- Derivative of:
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e^(-5*x)
- Graphing y =:
- e^(-5*x)
- Integral of d{x}:
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e^(-5*x)
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Identical expressions
- e^(- five *x)
- e to the power of ( minus 5 multiply by x)
- e to the power of ( minus five multiply by x)
- e(-5*x)
- e-5*x
- e^(-5x)
- e(-5x)
- e-5x
- e^-5x
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Similar expressions
- e^(5*x)
Limit of the function e^(-5*x)
The solution
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-5*x lim e x->oo
$$\lim_{x \to \infty} e^{- 5 x}$$
Limit(E^(-5*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
$$\lim_{x \to \infty} e^{- 5 x} = 0$$
$$\lim_{x \to 0^-} e^{- 5 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- 5 x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- 5 x} = e^{-5}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- 5 x} = e^{-5}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- 5 x} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} e^{- 5 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- 5 x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- 5 x} = e^{-5}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- 5 x} = e^{-5}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- 5 x} = \infty$$
More at x→-oo
The graph