Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+x^2-4*x)/(-9+x^2)
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Limit of (-6+x^2-x)/(9+x^2-6*x)
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Limit of (-x+tan(x))/(x+2*sin(x))
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Limit of sin(-2+2*x)/(-1+x)
- Graphing y =:
- 1-x^2
- Integral of d{x}:
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1-x^2
- Derivative of:
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1-x^2
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Identical expressions
- one -x^ two
- 1 minus x squared
- one minus x to the power of two
- 1-x2
- 1-x²
- 1-x to the power of 2
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Similar expressions
- log(1-x^2)/x^2
- acos((1-x^2)/(1+x^2))
- 1+x^2
- asin(x)/sqrt(1-x^2)
- (1-x^2)/(1-sqrt(x))
Limit of the function 1-x^2
The solution
You have entered
[src]
/ 2\ lim \1 - x / x->1+
$$\lim_{x \to 1^+}\left(1 - x^{2}\right)$$
Limit(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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(1 - x^{2}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(1 - x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(1 - x^{2}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(1 - x^{2}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(1 - x^{2}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(1 - x^{2}\right) = -\infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(1 - x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(1 - x^{2}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(1 - x^{2}\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(1 - x^{2}\right) = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(1 - x^{2}\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ 2\ lim \1 - x / x->1+
$$\lim_{x \to 1^+}\left(1 - x^{2}\right)$$
0
$$0$$
= 7.97177948403636e-32
/ 2\ lim \1 - x / x->1-
$$\lim_{x \to 1^-}\left(1 - x^{2}\right)$$
0
$$0$$
= 1.13943365149811e-31
= 1.13943365149811e-31
The graph