Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -sin(x)+tan(x)
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Limit of cos(x)*tan(5*x)
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Limit of -1+sqrt(5)-sqrt(2)-2*x
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Limit of ((-1+4*x)/(3+4*x))^(2+3*x)
- Derivative of:
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2*sin(2*x)
- Graphing y =:
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2*sin(2*x)
- Integral of d{x}:
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2*sin(2*x)
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Identical expressions
- two *sin(two *x)
- 2 multiply by sinus of (2 multiply by x)
- two multiply by sinus of (two multiply by x)
- 2sin(2x)
- 2sin2x
Limit of the function 2*sin(2*x)
The solution
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lim (2*sin(2*x)) x->oo
$$\lim_{x \to \infty}\left(2 \sin{\left(2 x \right)}\right)$$
Limit(2*sin(2*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
$$\lim_{x \to \infty}\left(2 \sin{\left(2 x \right)}\right) = \left\langle -2, 2\right\rangle$$
$$\lim_{x \to 0^-}\left(2 \sin{\left(2 x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \sin{\left(2 x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 \sin{\left(2 x \right)}\right) = 2 \sin{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \sin{\left(2 x \right)}\right) = 2 \sin{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 \sin{\left(2 x \right)}\right) = \left\langle -2, 2\right\rangle$$
More at x→-oo
$$\lim_{x \to 0^-}\left(2 \sin{\left(2 x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \sin{\left(2 x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 \sin{\left(2 x \right)}\right) = 2 \sin{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \sin{\left(2 x \right)}\right) = 2 \sin{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 \sin{\left(2 x \right)}\right) = \left\langle -2, 2\right\rangle$$
More at x→-oo
The graph