Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((1+2*x)/(-1+x))^x
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Limit of exp(n)
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Limit of (-sin(x)+tan(x))/(x*(1-cos(2*x)))
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Limit of 4*x/sin(2*x)
- Sum of series:
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exp(n)
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Identical expressions
- exp(n)
- exponent of (n)
- expn
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Similar expressions
- exp(n^2)/factorial(2*n)
- exp(n*re(x))*exp((-1-n)*re(x))
Limit of the function exp(n)
The solution
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty} e^{n} = \infty$$
$$\lim_{n \to 0^-} e^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} e^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} e^{n} = e$$
More at n→1 from the left
$$\lim_{n \to 1^+} e^{n} = e$$
More at n→1 from the right
$$\lim_{n \to -\infty} e^{n} = 0$$
More at n→-oo
$$\lim_{n \to 0^-} e^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} e^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} e^{n} = e$$
More at n→1 from the left
$$\lim_{n \to 1^+} e^{n} = e$$
More at n→1 from the right
$$\lim_{n \to -\infty} e^{n} = 0$$
More at n→-oo
The graph