Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5+3*x)/(-5+x)
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Limit of (-9+x^2)/(15+x^2-8*x)
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Limit of (-1+x)/log(x)
- Limit of (a+x^2-x*(1+a))/(x^3-a^3)
- Derivative of:
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sqrt(x^2)
- Graphing y =:
- sqrt(x^2)
- Integral of d{x}:
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sqrt(x^2)
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Identical expressions
- sqrt(x^ two)
- square root of (x squared )
- square root of (x to the power of two)
- √(x^2)
- sqrt(x2)
- sqrtx2
- sqrt(x²)
- sqrt(x to the power of 2)
- sqrtx^2
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Similar expressions
- x-sqrt(x^2+8*x)
- sqrt(x^2+3*x)/(2+x)
Limit of the function sqrt(x^2)
The solution
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lim \/ x
x->oo
$$\lim_{x \to \infty} \sqrt{x^{2}}$$
Limit(sqrt(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
$$\lim_{x \to \infty} \sqrt{x^{2}} = \infty$$
$$\lim_{x \to 0^-} \sqrt{x^{2}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x^{2}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x^{2}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x^{2}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x^{2}} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt{x^{2}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x^{2}} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x^{2}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x^{2}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x^{2}} = \infty$$
More at x→-oo
The graph