Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-exp(-x)+exp(x))/(exp(x)+exp(-x))
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Limit of ((3+5*x)/(-2+4*x))^(1+3*x)
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Limit of (3+3*x^3+5*x+5*x^2)/(-1+x^2)
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Limit of (3-x^2+5*x)/(4*x^7+81*x)
- Sum of series:
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(-1/2)^n
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Identical expressions
- (- one / two)^n
- ( minus 1 divide by 2) to the power of n
- ( minus one divide by two) to the power of n
- (-1/2)n
- -1/2n
- -1/2^n
- (-1 divide by 2)^n
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Similar expressions
- (1/2)^n
Limit of the function (-1/2)^n
The solution
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n lim -1/2 n->oo
$$\lim_{n \to \infty} \left(- \frac{1}{2}\right)^{n}$$
Limit((-1/2)^n, n, oo, dir='-')
The graph
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty} \left(- \frac{1}{2}\right)^{n}$$
$$\lim_{n \to 0^-} \left(- \frac{1}{2}\right)^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} \left(- \frac{1}{2}\right)^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} \left(- \frac{1}{2}\right)^{n} = - \frac{1}{2}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \left(- \frac{1}{2}\right)^{n} = - \frac{1}{2}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \left(- \frac{1}{2}\right)^{n}$$
More at n→-oo
$$\lim_{n \to 0^-} \left(- \frac{1}{2}\right)^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} \left(- \frac{1}{2}\right)^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} \left(- \frac{1}{2}\right)^{n} = - \frac{1}{2}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \left(- \frac{1}{2}\right)^{n} = - \frac{1}{2}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \left(- \frac{1}{2}\right)^{n}$$
More at n→-oo
The graph