Mister Exam

Limit of the function 2*sqrt(x)

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The solution

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     /    ___\
 lim \2*\/ x /
x->oo         
limx(2x)\lim_{x \to \infty}\left(2 \sqrt{x}\right)
Limit(2*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
02468-8-6-4-2-1010010
Other limits x→0, -oo, +oo, 1
limx(2x)=\lim_{x \to \infty}\left(2 \sqrt{x}\right) = \infty
limx0(2x)=0\lim_{x \to 0^-}\left(2 \sqrt{x}\right) = 0
More at x→0 from the left
limx0+(2x)=0\lim_{x \to 0^+}\left(2 \sqrt{x}\right) = 0
More at x→0 from the right
limx1(2x)=2\lim_{x \to 1^-}\left(2 \sqrt{x}\right) = 2
More at x→1 from the left
limx1+(2x)=2\lim_{x \to 1^+}\left(2 \sqrt{x}\right) = 2
More at x→1 from the right
limx(2x)=i\lim_{x \to -\infty}\left(2 \sqrt{x}\right) = \infty i
More at x→-oo
Rapid solution [src]
oo
\infty
The graph
Limit of the function 2*sqrt(x)