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