Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-64+4^x)/(-3+x)
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Limit of (3-x^2+5*x)/(4*x^7+81*x)
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Limit of (-2+2*x^3+7*x)/(-4-x+3*x^3)
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Limit of (1-sin(x))/cos(x)
- Integral of d{x}:
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e^(-3*x)
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Identical expressions
- e^(- three *x)
- e to the power of ( minus 3 multiply by x)
- e to the power of ( minus three multiply by x)
- e(-3*x)
- e-3*x
- e^(-3x)
- e(-3x)
- e-3x
- e^-3x
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Similar expressions
- e^(3*x)
Limit of the function e^(-3*x)
The solution
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-3*x lim E x->oo
$$\lim_{x \to \infty} e^{- 3 x}$$
Limit(E^(-3*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
$$\lim_{x \to \infty} e^{- 3 x} = 0$$
$$\lim_{x \to 0^-} e^{- 3 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- 3 x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- 3 x} = e^{-3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- 3 x} = e^{-3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- 3 x} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} e^{- 3 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- 3 x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- 3 x} = e^{-3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- 3 x} = e^{-3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- 3 x} = \infty$$
More at x→-oo
The graph