Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of (-tan(2*x)+sin(2*x))/x^3
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Limit of 3/n^4
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Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
- Integral of d{x}:
- sqrt(5+x)
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Identical expressions
- sqrt(five +x)
- square root of (5 plus x)
- square root of (five plus x)
- √(5+x)
- sqrt5+x
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Similar expressions
- sqrt(5-x)
- sqrt(5+x^2)
Limit of the function sqrt(5+x)
The solution
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[src]
_______ lim \/ 5 + x x->4+
$$\lim_{x \to 4^+} \sqrt{x + 5}$$
Limit(sqrt(5 + 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 \/ 5 + x x->4+
$$\lim_{x \to 4^+} \sqrt{x + 5}$$
3
$$3$$
= 3.0
_______ lim \/ 5 + x x->4-
$$\lim_{x \to 4^-} \sqrt{x + 5}$$
3
$$3$$
= 3.0
= 3.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 4^-} \sqrt{x + 5} = 3$$
More at x→4 from the left
$$\lim_{x \to 4^+} \sqrt{x + 5} = 3$$
$$\lim_{x \to \infty} \sqrt{x + 5} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{x + 5} = \sqrt{5}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x + 5} = \sqrt{5}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x + 5} = \sqrt{6}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x + 5} = \sqrt{6}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x + 5} = \infty i$$
More at x→-oo
More at x→4 from the left
$$\lim_{x \to 4^+} \sqrt{x + 5} = 3$$
$$\lim_{x \to \infty} \sqrt{x + 5} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{x + 5} = \sqrt{5}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x + 5} = \sqrt{5}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x + 5} = \sqrt{6}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x + 5} = \sqrt{6}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x + 5} = \infty i$$
More at x→-oo
The graph