Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-16+x^2-6*x)/(-2+x+x^2)
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Limit of -1+sqrt(5)-x-2/(sqrt(2)-x)
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Limit of (e^x-x-cos(x))/(-x+log(1+x))
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Limit of (-cos(x)^3+cos(x))/(4*x*sin(x))
- Sum of series:
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(-1)^n/sqrt(n)
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Identical expressions
- (- one)^n/sqrt(n)
- ( minus 1) to the power of n divide by square root of (n)
- ( minus one) to the power of n divide by square root of (n)
- (-1)^n/√(n)
- (-1)n/sqrt(n)
- -1n/sqrtn
- -1^n/sqrtn
- (-1)^n divide by sqrt(n)
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Similar expressions
- (1)^n/sqrt(n)
Limit of the function (-1)^n/sqrt(n)
The solution
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[src]
/ n\
|(-1) |
lim |-----|
n->oo| ___|
\\/ n /
$$\lim_{n \to \infty}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right)$$
Limit((-1)^n/(sqrt(n)), 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
$$\lim_{n \to \infty}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right)$$
$$\lim_{n \to 0^-}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right) = - \infty i$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right) = -1$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right) = -1$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right)$$
More at n→-oo
$$\lim_{n \to 0^-}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right) = - \infty i$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right) = -1$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right) = -1$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{\left(-1\right)^{n}}{\sqrt{n}}\right)$$
More at n→-oo
The graph