Mister Exam

Limit of the function sqrt(a)

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The solution

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 lim \/ a 
a->oo     
limaa\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
02468-8-6-4-2-101005
Rapid solution [src]
oo
\infty
Other limits a→0, -oo, +oo, 1
limaa=\lim_{a \to \infty} \sqrt{a} = \infty
lima0a=0\lim_{a \to 0^-} \sqrt{a} = 0
More at a→0 from the left
lima0+a=0\lim_{a \to 0^+} \sqrt{a} = 0
More at a→0 from the right
lima1a=1\lim_{a \to 1^-} \sqrt{a} = 1
More at a→1 from the left
lima1+a=1\lim_{a \to 1^+} \sqrt{a} = 1
More at a→1 from the right
limaa=i\lim_{a \to -\infty} \sqrt{a} = \infty i
More at a→-oo
The graph
Limit of the function sqrt(a)