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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2*x*sin(x)
- Integral of d{x}:
- 2*x*sin(x)
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Identical expressions
- two *x*sin(x)
- 2 multiply by x multiply by sinus of (x)
- two multiply by x multiply by sinus of (x)
- 2xsin(x)
- 2xsinx
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Similar expressions
- -(1-cos(2*x))*sin(x)/x+tan(x)
- cot(2*x)*sin(x)
- (1-cos(2*x))*sin(x)/x
- cos(2*x)*sin(x)
- 2*x*sinx
Limit of the function 2*x*sin(x)
The solution
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lim (2*x*sin(x)) x->oo
$$\lim_{x \to \infty}\left(2 x \sin{\left(x \right)}\right)$$
Limit((2*x)*sin(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
$$\lim_{x \to \infty}\left(2 x \sin{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
$$\lim_{x \to 0^-}\left(2 x \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 x \sin{\left(x \right)}\right) = 2 \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x \sin{\left(x \right)}\right) = 2 \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 x \sin{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
$$\lim_{x \to 0^-}\left(2 x \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 x \sin{\left(x \right)}\right) = 2 \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x \sin{\left(x \right)}\right) = 2 \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 x \sin{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph