Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of e^(x/2)
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Limit of (1+x)^3-(-1+x)^3/(1+x^2)
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Limit of (-1+x^2)/(1+x+2*x^2)
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Limit of (-1+x)/(-1+x^2+4*x)
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Identical expressions
- sqrt(- eight + three *x)
- square root of ( minus 8 plus 3 multiply by x)
- square root of ( minus eight plus three multiply by x)
- √(-8+3*x)
- sqrt(-8+3x)
- sqrt-8+3x
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Similar expressions
- sqrt(8+3*x)
- sqrt(-8-3*x)
Limit of the function sqrt(-8+3*x)
The solution
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[src]
__________ lim \/ -8 + 3*x x->4+
$$\lim_{x \to 4^+} \sqrt{3 x - 8}$$
Limit(sqrt(-8 + 3*x), x, 4)
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
One‐sided limits
[src]
__________ lim \/ -8 + 3*x x->4+
$$\lim_{x \to 4^+} \sqrt{3 x - 8}$$
2
$$2$$
= 2.0
__________ lim \/ -8 + 3*x x->4-
$$\lim_{x \to 4^-} \sqrt{3 x - 8}$$
2
$$2$$
= 2.0
= 2.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 4^-} \sqrt{3 x - 8} = 2$$
More at x→4 from the left
$$\lim_{x \to 4^+} \sqrt{3 x - 8} = 2$$
$$\lim_{x \to \infty} \sqrt{3 x - 8} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{3 x - 8} = 2 \sqrt{2} i$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{3 x - 8} = 2 \sqrt{2} i$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{3 x - 8} = \sqrt{5} i$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{3 x - 8} = \sqrt{5} i$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{3 x - 8} = \infty i$$
More at x→-oo
More at x→4 from the left
$$\lim_{x \to 4^+} \sqrt{3 x - 8} = 2$$
$$\lim_{x \to \infty} \sqrt{3 x - 8} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{3 x - 8} = 2 \sqrt{2} i$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{3 x - 8} = 2 \sqrt{2} i$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{3 x - 8} = \sqrt{5} i$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{3 x - 8} = \sqrt{5} i$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{3 x - 8} = \infty i$$
More at x→-oo
The graph