Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-4*x)^(1/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Graphing y =:
- exp(-sqrt(x))
- Integral of d{x}:
- exp(-sqrt(x))
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Identical expressions
- exp(-sqrt(x))
- exponent of ( minus square root of (x))
- exp(-√(x))
- exp-sqrtx
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Similar expressions
- exp(sqrt(x))
Limit of the function exp(-sqrt(x))
The solution
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-\/ x
lim e
x->oo
$$\lim_{x \to \infty} e^{- \sqrt{x}}$$
Limit(exp(-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
$$\lim_{x \to \infty} e^{- \sqrt{x}} = 0$$
$$\lim_{x \to 0^-} e^{- \sqrt{x}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- \sqrt{x}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- \sqrt{x}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- \sqrt{x}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- \sqrt{x}}$$
More at x→-oo
$$\lim_{x \to 0^-} e^{- \sqrt{x}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- \sqrt{x}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- \sqrt{x}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- \sqrt{x}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- \sqrt{x}}$$
More at x→-oo
The graph