Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (4-x^2)/(3-x^2)
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Limit of 5-9*x+3*x^2/2
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Limit of (-3+x^2+2*x)/(-3+2*x^2+5*x)
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Limit of ((1+x)^4-(-1+x)^4)/((1+x)^4+(-1+x)^4)
- 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