Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(3*x)/(4*x)
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Limit of sqrt(x+sqrt(x))/(x^2+x^(1/3))^(1/4)
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Limit of log(1+2^x)*log(1+3/x)
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Limit of e^x*cos(x)
- Graphing y =:
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e^x*cos(x)
- Integral of d{x}:
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e^x*cos(x)
- Derivative of:
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e^x*cos(x)
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Identical expressions
- e^x*cos(x)
- e to the power of x multiply by co sinus of e of (x)
- ex*cos(x)
- ex*cosx
- e^xcos(x)
- excos(x)
- excosx
- e^xcosx
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Similar expressions
- 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)
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
$$\lim_{x \to -\infty}\left(e^{x} \cos{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(e^{x} \cos{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
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
$$\lim_{x \to 1^-}\left(e^{x} \cos{\left(x \right)}\right) = e \cos{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} \cos{\left(x \right)}\right) = e \cos{\left(1 \right)}$$
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
$$\lim_{x \to 1^-}\left(e^{x} \cos{\left(x \right)}\right) = e \cos{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} \cos{\left(x \right)}\right) = e \cos{\left(1 \right)}$$
More at x→1 from the right
The graph