Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-3*e^(4*x)-2*e^(-x)+5*e^(2*x))/(-4*sqrt(1+5*x)+4*cos(3*x)+5*sin(2*x))
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Limit of (x/2)^(5/(-2+x))
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Limit of (-4+x^2)/(6+x^2+5*x)
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Limit of ((-1+x)/(1+x))^(1+x)
- Sum of series:
- i^n
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Identical expressions
- i^n
- i to the power of n
- in
Limit of the function i^n
The solution
The graph
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty} i^{n}$$
$$\lim_{n \to 0^-} i^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} i^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} i^{n} = i$$
More at n→1 from the left
$$\lim_{n \to 1^+} i^{n} = i$$
More at n→1 from the right
$$\lim_{n \to -\infty} i^{n}$$
More at n→-oo
$$\lim_{n \to 0^-} i^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} i^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} i^{n} = i$$
More at n→1 from the left
$$\lim_{n \to 1^+} i^{n} = i$$
More at n→1 from the right
$$\lim_{n \to -\infty} i^{n}$$
More at n→-oo
The graph