Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of (7+x+x^2)/(-1+e^x)
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Limit of x^2/(-2+sqrt(4+x^2))
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Limit of ((-2+x)/(1+3*x))^(5*x)
- Derivative of:
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3*sqrt(x)
- Integral of d{x}:
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3*sqrt(x)
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Identical expressions
- three *sqrt(x)
- 3 multiply by square root of (x)
- three multiply by square root of (x)
- 3*√(x)
- 3sqrt(x)
- 3sqrtx
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Similar expressions
- sqrt(3)*sqrt(x)
Limit of the function 3*sqrt(x)
The solution
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/ ___\ lim \3*\/ x / x->oo
$$\lim_{x \to \infty}\left(3 \sqrt{x}\right)$$
Limit(3*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
$$\lim_{x \to \infty}\left(3 \sqrt{x}\right) = \infty$$
$$\lim_{x \to 0^-}\left(3 \sqrt{x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 \sqrt{x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3 \sqrt{x}\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 \sqrt{x}\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3 \sqrt{x}\right) = \infty i$$
More at x→-oo
$$\lim_{x \to 0^-}\left(3 \sqrt{x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 \sqrt{x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3 \sqrt{x}\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 \sqrt{x}\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3 \sqrt{x}\right) = \infty i$$
More at x→-oo
The graph