Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2+sqrt(x))/(-4+x^2)
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Limit of (-exp(-x)+exp(x))/(exp(x)+exp(-x))
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Limit of x+2*x^3+5*x^4-x^2/3
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Limit of (-x^3+2*x+5*x^4)/(1+x^4-8*x^3)
- Integral of d{x}:
- sqrt(2+x)
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Identical expressions
- sqrt(two +x)
- square root of (2 plus x)
- square root of (two plus x)
- √(2+x)
- sqrt2+x
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Similar expressions
- sqrt(2+x^2)
- (-1+sqrt(1+x^2))/(sqrt(2+x^2)-sqrt(2))
- sqrt(2-x)
- sqrt(2+x^2+2*x)-sqrt(-3+x^2-2*x)
Limit of the function sqrt(2+x)
The solution
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_______ lim \/ 2 + x x->oo
$$\lim_{x \to \infty} \sqrt{x + 2}$$
Limit(sqrt(2 + 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \sqrt{x + 2} = \infty$$
$$\lim_{x \to 0^-} \sqrt{x + 2} = \sqrt{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x + 2} = \sqrt{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x + 2} = \sqrt{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x + 2} = \sqrt{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x + 2} = \infty i$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt{x + 2} = \sqrt{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x + 2} = \sqrt{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x + 2} = \sqrt{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x + 2} = \sqrt{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x + 2} = \infty i$$
More at x→-oo
The graph