Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 1-cos(3*x)
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Limit of ((6+5*x)/(-1+5*x))^((1+2*x^2)/x)
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Limit of (-3*5^(1+x)+5*2^x)/(2*5^x+100*2^x)
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Limit of (4^x-9^x)/(4^(1+x)+9^(1+x))
- Sum of series:
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n*2^n
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Identical expressions
- n* two ^n
- n multiply by 2 to the power of n
- n multiply by two to the power of n
- n*2n
- n2^n
- n2n
Limit of the function n*2^n
The solution
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/ n\ lim \n*2 / n->oo
$$\lim_{n \to \infty}\left(2^{n} n\right)$$
Limit(n*2^n, n, oo, dir='-')
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
$$\lim_{n \to \infty}\left(2^{n} n\right) = \infty$$
$$\lim_{n \to 0^-}\left(2^{n} n\right) = 0$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(2^{n} n\right) = 0$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(2^{n} n\right) = 2$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(2^{n} n\right) = 2$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(2^{n} n\right) = 0$$
More at n→-oo
$$\lim_{n \to 0^-}\left(2^{n} n\right) = 0$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(2^{n} n\right) = 0$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(2^{n} n\right) = 2$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(2^{n} n\right) = 2$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(2^{n} n\right) = 0$$
More at n→-oo
The graph