Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of (-tan(2*x)+sin(2*x))/x^3
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Limit of 3/n^4
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Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
- Derivative of:
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3*sin(3*x)
- Integral of d{x}:
- 3*sin(3*x)
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Identical expressions
- three *sin(three *x)
- 3 multiply by sinus of (3 multiply by x)
- three multiply by sinus of (three multiply by x)
- 3sin(3x)
- 3sin3x
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Similar expressions
- x^3*sin(3*x^2)/tan(32*x^5)
Limit of the function 3*sin(3*x)
The solution
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lim (3*sin(3*x)) x->oo
$$\lim_{x \to \infty}\left(3 \sin{\left(3 x \right)}\right)$$
Limit(3*sin(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
$$\lim_{x \to \infty}\left(3 \sin{\left(3 x \right)}\right) = \left\langle -3, 3\right\rangle$$
$$\lim_{x \to 0^-}\left(3 \sin{\left(3 x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 \sin{\left(3 x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3 \sin{\left(3 x \right)}\right) = 3 \sin{\left(3 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 \sin{\left(3 x \right)}\right) = 3 \sin{\left(3 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3 \sin{\left(3 x \right)}\right) = \left\langle -3, 3\right\rangle$$
More at x→-oo
$$\lim_{x \to 0^-}\left(3 \sin{\left(3 x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 \sin{\left(3 x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3 \sin{\left(3 x \right)}\right) = 3 \sin{\left(3 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 \sin{\left(3 x \right)}\right) = 3 \sin{\left(3 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3 \sin{\left(3 x \right)}\right) = \left\langle -3, 3\right\rangle$$
More at x→-oo
The graph