Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (-6+x^2-x)/(6+x^2-5*x)
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Limit of log(1+x^2)/(-e^(-x)+cos(3*x))
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Limit of -2+|-2+x|/x
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Limit of (-4-8*x+8*x^2)/(3+8*x)
- Graphing y =:
- 1/(1-x^2)
- Sum of series:
- 1/(1-x^2)
- Derivative of:
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1/(1-x^2)
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Identical expressions
- one /(one -x^ two)
- 1 divide by (1 minus x squared )
- one divide by (one minus x to the power of two)
- 1/(1-x2)
- 1/1-x2
- 1/(1-x²)
- 1/(1-x to the power of 2)
- 1/1-x^2
- 1 divide by (1-x^2)
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Similar expressions
- 1/(1+x^2)
Limit of the function 1/(1-x^2)
The solution
You have entered
[src]
1
lim ------
x->1+ 2
1 - x
$$\lim_{x \to 1^+} \frac{1}{1 - x^{2}}$$
Limit(1/(1 - x^2), x, 1)
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]
1
lim ------
x->1+ 2
1 - x
$$\lim_{x \to 1^+} \frac{1}{1 - x^{2}}$$
-oo
$$-\infty$$
= -75.2508250825083
1
lim ------
x->1- 2
1 - x
$$\lim_{x \to 1^-} \frac{1}{1 - x^{2}}$$
oo
$$\infty$$
= 75.7508305647841
= 75.7508305647841
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-} \frac{1}{1 - x^{2}} = -\infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{1 - x^{2}} = -\infty$$
$$\lim_{x \to \infty} \frac{1}{1 - x^{2}} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{1 - x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{1 - x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty} \frac{1}{1 - x^{2}} = 0$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{1 - x^{2}} = -\infty$$
$$\lim_{x \to \infty} \frac{1}{1 - x^{2}} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{1 - x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{1 - x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty} \frac{1}{1 - x^{2}} = 0$$
More at x→-oo
The graph