Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+2*n)/(-1+3*n)
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Limit of (6+x^2-5*x)/(2+x^3-x-2*x^2)
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Limit of 3/2+x^2-5*x
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Limit of (-4+x^2+3*x)/(-1+x^2)
- Factor polynomial:
- 9+x^2
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Identical expressions
- nine +x^ two
- 9 plus x squared
- nine plus x to the power of two
- 9+x2
- 9+x²
- 9+x to the power of 2
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Similar expressions
- (3+x^3-10*x)/(-9+x^2)
- (-9+x^2)/(x^3-x^2-6*x)
- 2-sqrt(-3+x)/(-49+x^2)
- (3+x^2+4*x)/(-9+x^2)
- (18+x^2+9*x)/(-9+x^2)
- 9-x^2
Limit of the function 9+x^2
The solution
You have entered
[src]
/ 2\ lim \9 + x / x->3+
$$\lim_{x \to 3^+}\left(x^{2} + 9\right)$$
Limit(9 + x^2, x, 3)
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
$$\lim_{x \to 3^-}\left(x^{2} + 9\right) = 18$$
More at x→3 from the left
$$\lim_{x \to 3^+}\left(x^{2} + 9\right) = 18$$
$$\lim_{x \to \infty}\left(x^{2} + 9\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{2} + 9\right) = 9$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} + 9\right) = 9$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{2} + 9\right) = 10$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} + 9\right) = 10$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} + 9\right) = \infty$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+}\left(x^{2} + 9\right) = 18$$
$$\lim_{x \to \infty}\left(x^{2} + 9\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{2} + 9\right) = 9$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} + 9\right) = 9$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{2} + 9\right) = 10$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} + 9\right) = 10$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} + 9\right) = \infty$$
More at x→-oo
One‐sided limits
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/ 2\ lim \9 + x / x->3+
$$\lim_{x \to 3^+}\left(x^{2} + 9\right)$$
18
$$18$$
= 18.0
/ 2\ lim \9 + x / x->3-
$$\lim_{x \to 3^-}\left(x^{2} + 9\right)$$
18
$$18$$
= 18.0
= 18.0
The graph