Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
-
Limit of x^2*(1/3-cos(8*x)/3)
-
Limit of (e^(5*x)-e^x)/(x^3+asin(x))
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Limit of (e^(3*x)-x-e^(2*x))/x^2
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Limit of 7^(1/(-3+x))
- Integral of d{x}:
- 2-x^2
- Graphing y =:
- 2-x^2
- Factor polynomial:
- 2-x^2
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Identical expressions
- two -x^ two
- 2 minus x squared
- two minus x to the power of two
- 2-x2
- 2-x²
- 2-x to the power of 2
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Similar expressions
- 2-x^2-5*x^3+2*x^5-x^4/3
- 2+x^2
Limit of the function 2-x^2
The solution
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[src]
/ 2\ lim \2 - x / x->2+
$$\lim_{x \to 2^+}\left(2 - x^{2}\right)$$
Limit(2 - x^2, x, 2)
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
$$\lim_{x \to 2^-}\left(2 - x^{2}\right) = -2$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(2 - x^{2}\right) = -2$$
$$\lim_{x \to \infty}\left(2 - x^{2}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 - x^{2}\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 - x^{2}\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 - x^{2}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 - x^{2}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 - x^{2}\right) = -\infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(2 - x^{2}\right) = -2$$
$$\lim_{x \to \infty}\left(2 - x^{2}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 - x^{2}\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 - x^{2}\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 - x^{2}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 - x^{2}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 - x^{2}\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ 2\ lim \2 - x / x->2+
$$\lim_{x \to 2^+}\left(2 - x^{2}\right)$$
-2
$$-2$$
= -2.0
/ 2\ lim \2 - x / x->2-
$$\lim_{x \to 2^-}\left(2 - x^{2}\right)$$
-2
$$-2$$
= -2.0
= -2.0
The graph