Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
- Limit of (1-cos(a*x))/(1-cos(b*x))
-
Limit of cot(x)*log(x+e^x)
-
Limit of (x^2-x)/(-1+x^2)
-
Limit of 6/x
- Graphing y =:
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-sin(x)
- Derivative of:
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-sin(x)
- Integral of d{x}:
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-sin(x)
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Identical expressions
- -sin(x)
- minus sinus of (x)
- -sinx
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Similar expressions
- sin(x)
- -sinx
Limit of the function -sin(x)
The solution
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lim (-sin(x)) x->-oo
$$\lim_{x \to -\infty}\left(- \sin{\left(x \right)}\right)$$
Limit(-sin(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
$$\lim_{x \to -\infty}\left(- \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle$$
$$\lim_{x \to \infty}\left(- \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(- \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- \sin{\left(x \right)}\right) = - \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \sin{\left(x \right)}\right) = - \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to \infty}\left(- \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(- \sin{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \sin{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- \sin{\left(x \right)}\right) = - \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \sin{\left(x \right)}\right) = - \sin{\left(1 \right)}$$
More at x→1 from the right
The graph