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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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 lim \/ 1 + x 
x->oo
lim⁡x→∞x+1\lim_{x \to \infty} \sqrt{x + 1} 
Limit(sqrt(1 + 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
02468-8-6-4-2-101005
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→∞x+1=∞\lim_{x \to \infty} \sqrt{x + 1} = \infty
lim⁡x→0−x+1=1\lim_{x \to 0^-} \sqrt{x + 1} = 1
More at x→0 from the left
lim⁡x→0+x+1=1\lim_{x \to 0^+} \sqrt{x + 1} = 1
More at x→0 from the right
lim⁡x→1−x+1=2\lim_{x \to 1^-} \sqrt{x + 1} = \sqrt{2}
More at x→1 from the left
lim⁡x→1+x+1=2\lim_{x \to 1^+} \sqrt{x + 1} = \sqrt{2}
More at x→1 from the right
lim⁡x→−∞x+1=∞i\lim_{x \to -\infty} \sqrt{x + 1} = \infty i
More at x→-oo
Rapid solution [src] 
oo
∞\infty
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The graph
Limit of the function sqrt(1+x)
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