Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 7^(1/(-3+x))
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Limit of (3-3*x^2+4*x^4+6*x^3)/(2*x^2+7*x^4)
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Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
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Limit of (-6-x^2-3*x+4*x^3)/(3-x^2+2*x^3)
- Derivative of:
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sqrt(4+x^2)
- Graphing y =:
- sqrt(4+x^2)
- Integral of d{x}:
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sqrt(4+x^2)
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Identical expressions
- sqrt(four +x^ two)
- square root of (4 plus x squared )
- square root of (four plus x to the power of two)
- √(4+x^2)
- sqrt(4+x2)
- sqrt4+x2
- sqrt(4+x²)
- sqrt(4+x to the power of 2)
- sqrt4+x^2
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Similar expressions
- sqrt(4-x^2)
Limit of the function sqrt(4+x^2)
The solution
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lim \/ 4 + x
x->oo
$$\lim_{x \to \infty} \sqrt{x^{2} + 4}$$
Limit(sqrt(4 + 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \sqrt{x^{2} + 4} = \infty$$
$$\lim_{x \to 0^-} \sqrt{x^{2} + 4} = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x^{2} + 4} = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x^{2} + 4} = \sqrt{5}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x^{2} + 4} = \sqrt{5}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x^{2} + 4} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt{x^{2} + 4} = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x^{2} + 4} = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x^{2} + 4} = \sqrt{5}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x^{2} + 4} = \sqrt{5}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x^{2} + 4} = \infty$$
More at x→-oo
The graph