Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 10+x^2+3*x^3+8*x
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Limit of (-2+sqrt(x))/(-4+x^2)
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Limit of x+2*x^3+5*x^4-x^2/3
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Limit of (-x^3+2*x+5*x^4)/(1+x^4-8*x^3)
- Sum of series:
- n*x^n
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Identical expressions
- n*x^n
- n multiply by x to the power of n
- n*xn
- nx^n
- nxn
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Similar expressions
- n^(-n)*x^n
- (-1)^n*4^(-n)*x^n/(1+n)
Limit of the function n*x^n
The solution
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/ n\ lim \n*x / n->oo
$$\lim_{n \to \infty}\left(n x^{n}\right)$$
Limit(n*x^n, n, oo, dir='-')
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty}\left(n x^{n}\right)$$
$$\lim_{n \to 0^-}\left(n x^{n}\right) = 0$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(n x^{n}\right) = 0$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(n x^{n}\right) = x$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(n x^{n}\right) = x$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(n x^{n}\right)$$
More at n→-oo
$$\lim_{n \to 0^-}\left(n x^{n}\right) = 0$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(n x^{n}\right) = 0$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(n x^{n}\right) = x$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(n x^{n}\right) = x$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(n x^{n}\right)$$
More at n→-oo