Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*x)/(1-5*x)
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Limit of (1-2*cos(x))/sin(3*x)
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Limit of (-6+x^2-x)/(-21+x+2*x^2)
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Limit of ((4+x^2+5*x)/(7+x^2-3*x))^x
- Derivative of:
- 2-2*x
- Integral of d{x}:
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2-2*x
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Identical expressions
- two - two *x
- 2 minus 2 multiply by x
- two minus two multiply by x
- 2-2x
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Similar expressions
- 2+2*x
Limit of the function 2-2*x
The solution
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[src]
lim (2 - 2*x) x->2+
$$\lim_{x \to 2^+}\left(2 - 2 x\right)$$
Limit(2 - 2*x, 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
$$\lim_{x \to 2^-}\left(2 - 2 x\right) = -2$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(2 - 2 x\right) = -2$$
$$\lim_{x \to \infty}\left(2 - 2 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 - 2 x\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 - 2 x\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 - 2 x\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 - 2 x\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 - 2 x\right) = \infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(2 - 2 x\right) = -2$$
$$\lim_{x \to \infty}\left(2 - 2 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 - 2 x\right) = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 - 2 x\right) = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 - 2 x\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 - 2 x\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 - 2 x\right) = \infty$$
More at x→-oo
One‐sided limits
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lim (2 - 2*x) x->2+
$$\lim_{x \to 2^+}\left(2 - 2 x\right)$$
-2
$$-2$$
= -2.0
lim (2 - 2*x) x->2-
$$\lim_{x \to 2^-}\left(2 - 2 x\right)$$
-2
$$-2$$
= -2.0
= -2.0
The graph