Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sqrt(x)
- Limit of x^n
- Limit of (x^5-a^5)/(x^3-a^3)
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Limit of cot(x)
- Integral of d{x}:
- x^n
- Derivative of:
- x^n
- Sum of series:
- x^n
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Identical expressions
- x^n
- x to the power of n
- xn
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Similar expressions
- (1+1/x)^n
- n^(-n)*x^n
- 3*x*3^n*x^n/sqrt(n)
- x^n*tan(x*2^(-n))
- (-1)^n*4^(-n)*x^n/(1+n)
Limit of the function x^n
The solution
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} x^{n}$$
$$\lim_{x \to 0^-} x^{n}$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{n}$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{n} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{n} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{n}$$
More at x→-oo
$$\lim_{x \to 0^-} x^{n}$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{n}$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{n} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{n} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{n}$$
More at x→-oo