Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
- Limit of (-1+a^x)/(-1+c^x)
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Limit of atan(2*x)/(3*x)
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Limit of atan(2*x)/(2*sin(x))
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Limit of asin(x)/(-3+x)
- Sum of series:
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sin(n)/n^3
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Identical expressions
- sin(n)/n^ three
- sinus of (n) divide by n cubed
- sinus of (n) divide by n to the power of three
- sin(n)/n3
- sinn/n3
- sin(n)/n³
- sin(n)/n to the power of 3
- sinn/n^3
- sin(n) divide by n^3
Limit of the function sin(n)/n^3
The solution
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/sin(n)\
lim |------|
n->oo| 3 |
\ n /
$$\lim_{n \to \infty}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right)$$
Limit(sin(n)/n^3, n, 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 n→0, -oo, +oo, 1
$$\lim_{n \to \infty}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = 0$$
$$\lim_{n \to 0^-}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = \infty$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = \sin{\left(1 \right)}$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = \sin{\left(1 \right)}$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = 0$$
More at n→-oo
$$\lim_{n \to 0^-}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = \infty$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = \sin{\left(1 \right)}$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = \sin{\left(1 \right)}$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{\sin{\left(n \right)}}{n^{3}}\right) = 0$$
More at n→-oo
The graph