Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of (-tan(2*x)+sin(2*x))/x^3
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Limit of 3/n^4
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Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
- Sum of series:
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5^n
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Identical expressions
- five ^n
- 5 to the power of n
- five to the power of n
- 5n
Limit of the function 5^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
$$\lim_{n \to \infty} 5^{n} = \infty$$
$$\lim_{n \to 0^-} 5^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} 5^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} 5^{n} = 5$$
More at n→1 from the left
$$\lim_{n \to 1^+} 5^{n} = 5$$
More at n→1 from the right
$$\lim_{n \to -\infty} 5^{n} = 0$$
More at n→-oo
$$\lim_{n \to 0^-} 5^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} 5^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} 5^{n} = 5$$
More at n→1 from the left
$$\lim_{n \to 1^+} 5^{n} = 5$$
More at n→1 from the right
$$\lim_{n \to -\infty} 5^{n} = 0$$
More at n→-oo
The graph