Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of (7+x+x^2)/(-1+e^x)
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Limit of x^2/(-2+sqrt(4+x^2))
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Limit of (x^2-6*x)/(6+x^2-7*x)
- Sum of series:
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(-1)^n/n^2
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Identical expressions
- (- one)^n/n^ two
- ( minus 1) to the power of n divide by n squared
- ( minus one) to the power of n divide by n to the power of two
- (-1)n/n2
- -1n/n2
- (-1)^n/n²
- (-1) to the power of n/n to the power of 2
- -1^n/n^2
- (-1)^n divide by n^2
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Similar expressions
- (1)^n/n^2
Limit of the function (-1)^n/n^2
The solution
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[src]
/ n\
|(-1) |
lim |-----|
n->oo| 2 |
\ n /
$$\lim_{n \to \infty}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right)$$
Limit((-1)^n/n^2, n, oo, dir='-')
The graph
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right)$$
$$\lim_{n \to 0^-}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right) = \infty$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right) = -1$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right) = -1$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right)$$
More at n→-oo
$$\lim_{n \to 0^-}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right) = \infty$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right) = -1$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right) = -1$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{\left(-1\right)^{n}}{n^{2}}\right)$$
More at n→-oo
The graph