Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 5^x-cos(x)
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Limit of (1-cos(8*x))/x^2
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Limit of (1-3/x)^x
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Limit of (-2+x^2-x)/(-2+x)
- Graphing y =:
- erf(x)
- Integral of d{x}:
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erf(x)
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Identical expressions
- erf(x)
- erfx
Limit of the function erf(x)
The solution
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lim erf(x) x->oo
$$\lim_{x \to \infty} \operatorname{erf}{\left(x \right)}$$
Limit(erf(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
$$\lim_{x \to \infty} \operatorname{erf}{\left(x \right)} = 1$$
$$\lim_{x \to 0^-} \operatorname{erf}{\left(x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{erf}{\left(x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{erf}{\left(x \right)} = \frac{- e \left(1 - \operatorname{erf}{\left(1 \right)}\right) + e}{e}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{erf}{\left(x \right)} = \frac{- e \left(1 - \operatorname{erf}{\left(1 \right)}\right) + e}{e}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{erf}{\left(x \right)} = -1$$
More at x→-oo
$$\lim_{x \to 0^-} \operatorname{erf}{\left(x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{erf}{\left(x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{erf}{\left(x \right)} = \frac{- e \left(1 - \operatorname{erf}{\left(1 \right)}\right) + e}{e}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{erf}{\left(x \right)} = \frac{- e \left(1 - \operatorname{erf}{\left(1 \right)}\right) + e}{e}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{erf}{\left(x \right)} = -1$$
More at x→-oo
The graph