Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^2*(1/3-cos(8*x)/3)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of (-1+sin(x))/cos(x)
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Limit of (-2*sin(x)+sin(2*x))/(x*log(cos(5*x)))
- Sum of series:
- x^n/n^2
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Identical expressions
- x^n/n^ two
- x to the power of n divide by n squared
- x to the power of n divide by n to the power of two
- xn/n2
- x^n/n²
- x to the power of n/n to the power of 2
- x^n divide by n^2
Limit of the function x^n/n^2
The solution
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$$\lim_{x \to \infty}\left(\frac{x^{n}}{n^{2}}\right)$$
Limit(x^n/n^2, x, oo, dir='-')
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{x^{n}}{n^{2}}\right)$$
$$\lim_{x \to 0^-}\left(\frac{x^{n}}{n^{2}}\right)$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x^{n}}{n^{2}}\right)$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x^{n}}{n^{2}}\right) = \frac{1}{n^{2}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x^{n}}{n^{2}}\right) = \frac{1}{n^{2}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x^{n}}{n^{2}}\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{x^{n}}{n^{2}}\right)$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x^{n}}{n^{2}}\right)$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x^{n}}{n^{2}}\right) = \frac{1}{n^{2}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x^{n}}{n^{2}}\right) = \frac{1}{n^{2}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x^{n}}{n^{2}}\right)$$
More at x→-oo