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 (e^(4*x)-e^(3*x))/(-sin(3*x)+sin(4*x))
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Limit of (e^(5*x)-e^x)/(x^3+asin(x))
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Limit of (-cos(x)+cos(5*x))/(4*x^2)
- Sum of series:
- a^n
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Identical expressions
- a^n
- a to the power of n
- an
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Similar expressions
- (x^n*sin(x)-a^n*sin(a))/(x-a)
Limit of the function a^n
The solution
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty} a^{n}$$
$$\lim_{n \to 0^-} a^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} a^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} a^{n} = a$$
More at n→1 from the left
$$\lim_{n \to 1^+} a^{n} = a$$
More at n→1 from the right
$$\lim_{n \to -\infty} a^{n}$$
More at n→-oo
$$\lim_{n \to 0^-} a^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} a^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} a^{n} = a$$
More at n→1 from the left
$$\lim_{n \to 1^+} a^{n} = a$$
More at n→1 from the right
$$\lim_{n \to -\infty} a^{n}$$
More at n→-oo