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sqrt(4-x^2)
Limit of the function/ sqrt(4-x^2)

Limit of the function sqrt(4-x^2)

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You have entered [src] 
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 lim \/  4 - x  
x->oo
lim⁡x→∞4−x2\lim_{x \to \infty} \sqrt{4 - x^{2}} 
Limit(sqrt(4 - x^2), 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
02468-8-6-4-2-101004
Plot the graph
Rapid solution [src] 
oo*I
∞i\infty i
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞4−x2=∞i\lim_{x \to \infty} \sqrt{4 - x^{2}} = \infty i
lim⁡x→0−4−x2=2\lim_{x \to 0^-} \sqrt{4 - x^{2}} = 2
More at x→0 from the left
lim⁡x→0+4−x2=2\lim_{x \to 0^+} \sqrt{4 - x^{2}} = 2
More at x→0 from the right
lim⁡x→1−4−x2=3\lim_{x \to 1^-} \sqrt{4 - x^{2}} = \sqrt{3}
More at x→1 from the left
lim⁡x→1+4−x2=3\lim_{x \to 1^+} \sqrt{4 - x^{2}} = \sqrt{3}
More at x→1 from the right
lim⁡x→−∞4−x2=∞i\lim_{x \to -\infty} \sqrt{4 - x^{2}} = \infty i
More at x→-oo
The graph
Limit of the function sqrt(4-x^2)
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