Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-6+x^2-x)/(6+x^2-5*x)
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Limit of log(1+x^2)/(-e^(-x)+cos(3*x))
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Limit of -2+|-2+x|/x
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Limit of (-4-8*x+8*x^2)/(3+8*x)
- Derivative of:
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e^(-x)*cos(x)
- Graphing y =:
- e^(-x)*cos(x)
- Integral of d{x}:
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e^(-x)*cos(x)
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Identical expressions
- e^(-x)*cos(x)
- e to the power of ( minus x) multiply by co sinus of e of (x)
- e(-x)*cos(x)
- e-x*cosx
- e^(-x)cos(x)
- e(-x)cos(x)
- e-xcosx
- e^-xcosx
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Similar expressions
- e^(x)*cos(x)
- e^(-x)*cosx
Limit of the function e^(-x)*cos(x)
The solution
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/ -x \ lim \E *cos(x)/ x->oo
$$\lim_{x \to \infty}\left(e^{- x} \cos{\left(x \right)}\right)$$
Limit(E^(-x)*cos(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
$$\lim_{x \to \infty}\left(e^{- x} \cos{\left(x \right)}\right) = 0$$
$$\lim_{x \to 0^-}\left(e^{- x} \cos{\left(x \right)}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{- x} \cos{\left(x \right)}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{- x} \cos{\left(x \right)}\right) = \frac{\cos{\left(1 \right)}}{e}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{- x} \cos{\left(x \right)}\right) = \frac{\cos{\left(1 \right)}}{e}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{- x} \cos{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
$$\lim_{x \to 0^-}\left(e^{- x} \cos{\left(x \right)}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{- x} \cos{\left(x \right)}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{- x} \cos{\left(x \right)}\right) = \frac{\cos{\left(1 \right)}}{e}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{- x} \cos{\left(x \right)}\right) = \frac{\cos{\left(1 \right)}}{e}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{- x} \cos{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph