Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((2+x)/(4+x))^cos(x)
-
Limit of -5-2*x^2+8*x
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Limit of (-9+x^2)/(-27+x^3)
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Limit of 1+7*x+11*x^2/2
- Graphing y =:
- 3-3*x^2
- Derivative of:
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3-3*x^2
- Factor polynomial:
- 3-3*x^2
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Identical expressions
- three - three *x^ two
- 3 minus 3 multiply by x squared
- three minus three multiply by x to the power of two
- 3-3*x2
- 3-3*x²
- 3-3*x to the power of 2
- 3-3x^2
- 3-3x2
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Similar expressions
- 2*y^4+x*y^3-3*x^2*y^2
- 3+3*x^2
Limit of the function 3-3*x^2
The solution
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[src]
/ 2\ lim \3 - 3*x / x->1+
$$\lim_{x \to 1^+}\left(3 - 3 x^{2}\right)$$
Limit(3 - 3*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]
/ 2\ lim \3 - 3*x / x->1+
$$\lim_{x \to 1^+}\left(3 - 3 x^{2}\right)$$
0
$$0$$
= 2.39153384521091e-31
/ 2\ lim \3 - 3*x / x->1-
$$\lim_{x \to 1^-}\left(3 - 3 x^{2}\right)$$
0
$$0$$
= 3.41830095449434e-31
= 3.41830095449434e-31
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(3 - 3 x^{2}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 - 3 x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(3 - 3 x^{2}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(3 - 3 x^{2}\right) = 3$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 - 3 x^{2}\right) = 3$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(3 - 3 x^{2}\right) = -\infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3 - 3 x^{2}\right) = 0$$
$$\lim_{x \to \infty}\left(3 - 3 x^{2}\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(3 - 3 x^{2}\right) = 3$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3 - 3 x^{2}\right) = 3$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(3 - 3 x^{2}\right) = -\infty$$
More at x→-oo
The graph