Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-4*x)^(1/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Derivative of:
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2*sqrt(x)
- Integral of d{x}:
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2*sqrt(x)
- 2*sqrt(x)
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Identical expressions
- two *sqrt(x)
- 2 multiply by square root of (x)
- two multiply by square root of (x)
- 2*√(x)
- 2sqrt(x)
- 2sqrtx
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Similar expressions
- tan(13*x)^(sqrt(2)*sqrt(x))
- sqrt(2)*sqrt(x)/sin(6*x)
Limit of the function 2*sqrt(x)
The solution
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/ ___\ lim \2*\/ x / x->oo
$$\lim_{x \to \infty}\left(2 \sqrt{x}\right)$$
Limit(2*sqrt(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
$$\lim_{x \to \infty}\left(2 \sqrt{x}\right) = \infty$$
$$\lim_{x \to 0^-}\left(2 \sqrt{x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \sqrt{x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 \sqrt{x}\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \sqrt{x}\right) = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 \sqrt{x}\right) = \infty i$$
More at x→-oo
$$\lim_{x \to 0^-}\left(2 \sqrt{x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \sqrt{x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 \sqrt{x}\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \sqrt{x}\right) = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 \sqrt{x}\right) = \infty i$$
More at x→-oo
The graph