Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -2+e^x-e^(-x)-sin(x)
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Limit of (e^x-e)/(-1+x)
- Limit of (e^(a*x)-e^(b*x))/sin(x)
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Limit of (2/3)^x
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Identical expressions
- sqrt(two +x)-(twenty +x)^(one / three)
- square root of (2 plus x) minus (20 plus x) to the power of (1 divide by 3)
- square root of (two plus x) minus (twenty plus x) to the power of (one divide by three)
- √(2+x)-(20+x)^(1/3)
- sqrt(2+x)-(20+x)(1/3)
- sqrt2+x-20+x1/3
- sqrt2+x-20+x^1/3
- sqrt(2+x)-(20+x)^(1 divide by 3)
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Similar expressions
- sqrt(2+x)+(20+x)^(1/3)
- sqrt(2-x)-(20+x)^(1/3)
- sqrt(2+x)-(20-x)^(1/3)
Limit of the function sqrt(2+x)-(20+x)^(1/3)
The solution
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[src]
/ _______ 3 ________\ lim \\/ 2 + x - \/ 20 + x / x->7+
$$\lim_{x \to 7^+}\left(\sqrt{x + 2} - \sqrt[3]{x + 20}\right)$$
Limit(sqrt(2 + x) - (20 + x)^(1/3), x, 7)
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]
/ _______ 3 ________\ lim \\/ 2 + x - \/ 20 + x / x->7+
$$\lim_{x \to 7^+}\left(\sqrt{x + 2} - \sqrt[3]{x + 20}\right)$$
0
$$0$$
= 1.68113940995076e-33
/ _______ 3 ________\ lim \\/ 2 + x - \/ 20 + x / x->7-
$$\lim_{x \to 7^-}\left(\sqrt{x + 2} - \sqrt[3]{x + 20}\right)$$
0
$$0$$
= -8.08278512836599e-34
= -8.08278512836599e-34
The graph