Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
- Limit of (-log(-1+2*x)+log(2+x))/sin(pi*x)
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Limit of (cos(x)/cos(2))^(1/(-2+x))
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Limit of (9-x^2)/(-1+x)
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Limit of (1+2*x+9*x^2)/(-3+x)
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Identical expressions
- (nine -x^ two)/(- one +x)
- (9 minus x squared ) divide by ( minus 1 plus x)
- (nine minus x to the power of two) divide by ( minus one plus x)
- (9-x2)/(-1+x)
- 9-x2/-1+x
- (9-x²)/(-1+x)
- (9-x to the power of 2)/(-1+x)
- 9-x^2/-1+x
- (9-x^2) divide by (-1+x)
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Similar expressions
- (9+x^2)/(-1+x)
- (9-x^2)/(1+x)
- (9-x^2)/(-1-x)
Limit of the function (9-x^2)/(-1+x)
The solution
You have entered
[src]
/ 2\
|9 - x |
lim |------|
x->-3+\-1 + x/
$$\lim_{x \to -3^+}\left(\frac{9 - x^{2}}{x - 1}\right)$$
Limit((9 - x^2)/(-1 + x), 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
One‐sided limits
[src]
/ 2\
|9 - x |
lim |------|
x->-3+\-1 + x/
$$\lim_{x \to -3^+}\left(\frac{9 - x^{2}}{x - 1}\right)$$
0
$$0$$
= -8.76240875132239e-33
/ 2\
|9 - x |
lim |------|
x->-3-\-1 + x/
$$\lim_{x \to -3^-}\left(\frac{9 - x^{2}}{x - 1}\right)$$
0
$$0$$
= 6.95101885901126e-32
= 6.95101885901126e-32
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -3^-}\left(\frac{9 - x^{2}}{x - 1}\right) = 0$$
More at x→-3 from the left
$$\lim_{x \to -3^+}\left(\frac{9 - x^{2}}{x - 1}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{9 - x^{2}}{x - 1}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{9 - x^{2}}{x - 1}\right) = -9$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{9 - x^{2}}{x - 1}\right) = -9$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{9 - x^{2}}{x - 1}\right) = -\infty$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{9 - x^{2}}{x - 1}\right) = \infty$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{9 - x^{2}}{x - 1}\right) = \infty$$
More at x→-oo
More at x→-3 from the left
$$\lim_{x \to -3^+}\left(\frac{9 - x^{2}}{x - 1}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{9 - x^{2}}{x - 1}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{9 - x^{2}}{x - 1}\right) = -9$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{9 - x^{2}}{x - 1}\right) = -9$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{9 - x^{2}}{x - 1}\right) = -\infty$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{9 - x^{2}}{x - 1}\right) = \infty$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{9 - x^{2}}{x - 1}\right) = \infty$$
More at x→-oo
The graph