Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (9+3*x^2+4*x)/(7-7*x+3*x^2)
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Limit of (1+2*n)/(-1+3*n)
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Limit of (x^3-3^x)/(-3+x)
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Limit of -x+(-2+x)^4/(3+x)^4
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Identical expressions
- three ^(-x)/x
- 3 to the power of ( minus x) divide by x
- three to the power of ( minus x) divide by x
- 3(-x)/x
- 3-x/x
- 3^-x/x
- 3^(-x) divide by x
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Similar expressions
- (-2+3^x+3^(-x))/x^2
- 3^(x)/x
Limit of the function 3^(-x)/x
The solution
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[src]
/ -x\
|3 |
lim |---|
x->oo\ x /
$$\lim_{x \to \infty}\left(\frac{3^{- x}}{x}\right)$$
Limit(3^(-x)/x, x, 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 x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{3^{- x}}{x}\right) = 0$$
$$\lim_{x \to 0^-}\left(\frac{3^{- x}}{x}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{3^{- x}}{x}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{3^{- x}}{x}\right) = \frac{1}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{3^{- x}}{x}\right) = \frac{1}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{3^{- x}}{x}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{3^{- x}}{x}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{3^{- x}}{x}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{3^{- x}}{x}\right) = \frac{1}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{3^{- x}}{x}\right) = \frac{1}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{3^{- x}}{x}\right) = -\infty$$
More at x→-oo
The graph