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sqrt(1-x^2)
Limit of the function/ sqrt(1-x^2)

Limit of the function sqrt(1-x^2)

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The solution

You have entered [src] 
         ________
        /      2 
 lim  \/  1 - x  
x->-oo
lim⁡x→−∞1−x2\lim_{x \to -\infty} \sqrt{1 - x^{2}} 
Limit(sqrt(1 - x^2), x, -oo)
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
02468-8-6-4-2-10100.01.5
Plot the graph
Rapid solution [src] 
oo*I
∞i\infty i
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→−∞1−x2=∞i\lim_{x \to -\infty} \sqrt{1 - x^{2}} = \infty i
lim⁡x→∞1−x2=∞i\lim_{x \to \infty} \sqrt{1 - x^{2}} = \infty i
More at x→oo
lim⁡x→0−1−x2=1\lim_{x \to 0^-} \sqrt{1 - x^{2}} = 1
More at x→0 from the left
lim⁡x→0+1−x2=1\lim_{x \to 0^+} \sqrt{1 - x^{2}} = 1
More at x→0 from the right
lim⁡x→1−1−x2=0\lim_{x \to 1^-} \sqrt{1 - x^{2}} = 0
More at x→1 from the left
lim⁡x→1+1−x2=0\lim_{x \to 1^+} \sqrt{1 - x^{2}} = 0
More at x→1 from the right
The graph
Limit of the function sqrt(1-x^2)
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