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

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

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          1     
 lim -----------
x->oo   ________
       /      2 
     \/  1 - x
lim⁡x→∞11−x2\lim_{x \to \infty} \frac{1}{\sqrt{1 - x^{2}}} 
Limit(1/(sqrt(1 - 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] 
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Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞11−x2=0\lim_{x \to \infty} \frac{1}{\sqrt{1 - x^{2}}} = 0
lim⁡x→0−11−x2=1\lim_{x \to 0^-} \frac{1}{\sqrt{1 - x^{2}}} = 1
More at x→0 from the left
lim⁡x→0+11−x2=1\lim_{x \to 0^+} \frac{1}{\sqrt{1 - x^{2}}} = 1
More at x→0 from the right
lim⁡x→1−11−x2=∞\lim_{x \to 1^-} \frac{1}{\sqrt{1 - x^{2}}} = \infty
More at x→1 from the left
lim⁡x→1+11−x2=−∞i\lim_{x \to 1^+} \frac{1}{\sqrt{1 - x^{2}}} = - \infty i
More at x→1 from the right
lim⁡x→−∞11−x2=0\lim_{x \to -\infty} \frac{1}{\sqrt{1 - x^{2}}} = 0
More at x→-oo
The graph
Limit of the function 1/sqrt(1-x^2)
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