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

Limit of the function sqrt(1-x)

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The solution

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 lim \/ 1 - x 
x->1+
lim⁡x→1+1−x\lim_{x \to 1^+} \sqrt{1 - x} 
Limit(sqrt(1 - x), x, 1)
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
-2.0-1.5-1.0-0.52.00.00.51.01.502
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→1−1−x=0\lim_{x \to 1^-} \sqrt{1 - x} = 0
More at x→1 from the left
lim⁡x→1+1−x=0\lim_{x \to 1^+} \sqrt{1 - x} = 0
lim⁡x→∞1−x=∞i\lim_{x \to \infty} \sqrt{1 - x} = \infty i
More at x→oo
lim⁡x→0−1−x=1\lim_{x \to 0^-} \sqrt{1 - x} = 1
More at x→0 from the left
lim⁡x→0+1−x=1\lim_{x \to 0^+} \sqrt{1 - x} = 1
More at x→0 from the right
lim⁡x→−∞1−x=∞\lim_{x \to -\infty} \sqrt{1 - x} = \infty
More at x→-oo
One‐sided limits [src] 
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 lim \/ 1 - x 
x->1+
lim⁡x→1+1−x\lim_{x \to 1^+} \sqrt{1 - x} 
0
00 
= (0.0 + 0.0140589505728053j)
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 lim \/ 1 - x 
x->1-
lim⁡x→1−1−x\lim_{x \to 1^-} \sqrt{1 - x} 
0
00 
= 0.013960825281075
= 0.013960825281075
Numerical answer [src] 
(0.0 + 0.0140589505728053j)
(0.0 + 0.0140589505728053j)
The graph
Limit of the function sqrt(1-x)
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