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 (3+x^2+2*x)/(4+2*x^2+3*x)
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Limit of -5-2*x^2+8*x
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Limit of (-2+x)/(x^2-2*x)
- Sum of series:
- sqrt(a)
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Identical expressions
- sqrt(a)
- square root of (a)
- √(a)
- sqrta
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Similar expressions
- (sqrt(a*x)-x)/(x-a)
- (sqrt(x-b)-sqrt(a-b))/(x^2-a^2)
- (sin(x)+tan(x))/(sqrt(a^2+x^2)-a)
- log(2+sqrt(atan(x)*sin(1/x)))
Limit of the function sqrt(a)
The solution
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___ lim \/ a a->oo
$$\lim_{a \to \infty} \sqrt{a}$$
Limit(sqrt(a), a, 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 a→0, -oo, +oo, 1
$$\lim_{a \to \infty} \sqrt{a} = \infty$$
$$\lim_{a \to 0^-} \sqrt{a} = 0$$
More at a→0 from the left
$$\lim_{a \to 0^+} \sqrt{a} = 0$$
More at a→0 from the right
$$\lim_{a \to 1^-} \sqrt{a} = 1$$
More at a→1 from the left
$$\lim_{a \to 1^+} \sqrt{a} = 1$$
More at a→1 from the right
$$\lim_{a \to -\infty} \sqrt{a} = \infty i$$
More at a→-oo
$$\lim_{a \to 0^-} \sqrt{a} = 0$$
More at a→0 from the left
$$\lim_{a \to 0^+} \sqrt{a} = 0$$
More at a→0 from the right
$$\lim_{a \to 1^-} \sqrt{a} = 1$$
More at a→1 from the left
$$\lim_{a \to 1^+} \sqrt{a} = 1$$
More at a→1 from the right
$$\lim_{a \to -\infty} \sqrt{a} = \infty i$$
More at a→-oo
The graph