Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-cos(x)^2)/x
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Limit of (1-cos(4*x))/(4*x^2)
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Limit of (1+8*x)^(1/x)
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Limit of (1+7/x)^(3*x)
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Identical expressions
- - four + two *x
- minus 4 plus 2 multiply by x
- minus four plus two multiply by x
- -4+2x
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Similar expressions
- -4-2*x
- 4+2*x
Limit of the function -4+2*x
The solution
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[src]
lim (-4 + 2*x) x->3+
$$\lim_{x \to 3^+}\left(2 x - 4\right)$$
Limit(-4 + 2*x, x, 3)
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
$$\lim_{x \to 3^-}\left(2 x - 4\right) = 2$$
More at x→3 from the left
$$\lim_{x \to 3^+}\left(2 x - 4\right) = 2$$
$$\lim_{x \to \infty}\left(2 x - 4\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 x - 4\right) = -4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x - 4\right) = -4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 x - 4\right) = -2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x - 4\right) = -2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 x - 4\right) = -\infty$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+}\left(2 x - 4\right) = 2$$
$$\lim_{x \to \infty}\left(2 x - 4\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 x - 4\right) = -4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 x - 4\right) = -4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 x - 4\right) = -2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 x - 4\right) = -2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 x - 4\right) = -\infty$$
More at x→-oo
One‐sided limits
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lim (-4 + 2*x) x->3+
$$\lim_{x \to 3^+}\left(2 x - 4\right)$$
2
$$2$$
= 2.0
lim (-4 + 2*x) x->3-
$$\lim_{x \to 3^-}\left(2 x - 4\right)$$
2
$$2$$
= 2.0
= 2.0
The graph