Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of ((-4+3*x)/(2+3*x))^(2*x)
-
Limit of (3+x^2-x)/(-3+3*x+5*x^2)
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Limit of (-1+x^2)/(-2+x+x^2)
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Limit of (sqrt(5+x)-sqrt(10))/(-15+x^2-2*x)
- Integral of d{x}:
- sin(sin(x))
- Derivative of:
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sin(sin(x))
- Plot:
- sin(sin(x))
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Identical expressions
- sin(sin(x))
- sinus of ( sinus of (x))
- sinsinx
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Similar expressions
- sin(sinx)
Limit of the function sin(sin(x))
The solution
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lim sin(sin(x)) x->oo
$$\lim_{x \to \infty} \sin{\left(\sin{\left(x \right)} \right)}$$
Limit(sin(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
Rapid solution
[src]
<-sin(1), sin(1)>
$$\left\langle - \sin{\left(1 \right)}, \sin{\left(1 \right)}\right\rangle$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \sin{\left(\sin{\left(x \right)} \right)} = \left\langle - \sin{\left(1 \right)}, \sin{\left(1 \right)}\right\rangle$$
$$\lim_{x \to 0^-} \sin{\left(\sin{\left(x \right)} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(\sin{\left(x \right)} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sin{\left(\sin{\left(x \right)} \right)} = \sin{\left(\sin{\left(1 \right)} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(\sin{\left(x \right)} \right)} = \sin{\left(\sin{\left(1 \right)} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(\sin{\left(x \right)} \right)} = \left\langle - \sin{\left(1 \right)}, \sin{\left(1 \right)}\right\rangle$$
More at x→-oo
$$\lim_{x \to 0^-} \sin{\left(\sin{\left(x \right)} \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(\sin{\left(x \right)} \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sin{\left(\sin{\left(x \right)} \right)} = \sin{\left(\sin{\left(1 \right)} \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(\sin{\left(x \right)} \right)} = \sin{\left(\sin{\left(1 \right)} \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(\sin{\left(x \right)} \right)} = \left\langle - \sin{\left(1 \right)}, \sin{\left(1 \right)}\right\rangle$$
More at x→-oo
The graph