Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2-7*x+4*x^2+5*x^3)/(-3-7*x^2+4*x^3+6*x)
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Limit of (2-4*x^2+5*x^3)/(3+x)
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Limit of (5^(2*x)-2^(3*x))/(sin(x)+sin(x^2))
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Limit of (1-x^2+4*x)/(-2*x+5*x^2)
- Derivative of:
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exp(-sqrt(x))/sqrt(x)
- Integral of d{x}:
- exp(-sqrt(x))/sqrt(x)
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Identical expressions
- exp(-sqrt(x))/sqrt(x)
- exponent of ( minus square root of (x)) divide by square root of (x)
- exp(-√(x))/√(x)
- exp-sqrtx/sqrtx
- exp(-sqrt(x)) divide by sqrt(x)
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Similar expressions
- exp(sqrt(x))/sqrt(x)
Limit of the function exp(-sqrt(x))/sqrt(x)
The solution
You have entered
[src]
/ ___\
| -\/ x |
|e |
lim |-------|
x->oo| ___ |
\ \/ x /
$$\lim_{x \to \infty}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right)$$
Limit(exp(-sqrt(x))/sqrt(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
$$\lim_{x \to \infty}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right) = 0$$
$$\lim_{x \to 0^-}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right) = - \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right) = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right) = - \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right) = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{- \sqrt{x}}}{\sqrt{x}}\right)$$
More at x→-oo
The graph