Mister Exam

Limit of the function sqrt(x)

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The solution

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 lim \/ x 
x->oo     
limxx\lim_{x \to \infty} \sqrt{x}
Limit(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
02468-8-6-4-2-101005
Other limits x→0, -oo, +oo, 1
limxx=\lim_{x \to \infty} \sqrt{x} = \infty
limx0x=0\lim_{x \to 0^-} \sqrt{x} = 0
More at x→0 from the left
limx0+x=0\lim_{x \to 0^+} \sqrt{x} = 0
More at x→0 from the right
limx1x=1\lim_{x \to 1^-} \sqrt{x} = 1
More at x→1 from the left
limx1+x=1\lim_{x \to 1^+} \sqrt{x} = 1
More at x→1 from the right
limxx=i\lim_{x \to -\infty} \sqrt{x} = \infty i
More at x→-oo
Rapid solution [src]
oo
\infty
The graph
Limit of the function sqrt(x)