Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5-4*x+3*x^2)/(1-x+2*x^2)
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Limit of ((1+2*x)/(-1+x))^(4*x)
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Limit of (1-7/x)^x
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Limit of ((1+x^2)/(-1+x^2))^(x^2)
- Derivative of:
- sqrt(2)
- Integral of d{x}:
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sqrt(2)
- sqrt(2)
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Identical expressions
- sqrt(two)
- square root of (2)
- square root of (two)
- √(2)
- sqrt2
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Similar expressions
- sqrt(2+x)-sqrt(x)
Limit of the function sqrt(2)
The solution
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sqrt{2} = \sqrt{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{2} = \sqrt{2}$$
$$\lim_{x \to \infty} \sqrt{2} = \sqrt{2}$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{2} = \sqrt{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{2} = \sqrt{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{2} = \sqrt{2}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{2} = \sqrt{2}$$
$$\lim_{x \to \infty} \sqrt{2} = \sqrt{2}$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{2} = \sqrt{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{2} = \sqrt{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{2} = \sqrt{2}$$
More at x→-oo
One‐sided limits
[src]
___ lim \/ 2 x->0+
$$\lim_{x \to 0^+} \sqrt{2}$$
___ \/ 2
$$\sqrt{2}$$
= 1.4142135623731
___ lim \/ 2 x->0-
$$\lim_{x \to 0^-} \sqrt{2}$$
___ \/ 2
$$\sqrt{2}$$
= 1.4142135623731
= 1.4142135623731