Mister Exam
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How to use it?
- Limit of the function:
- Limit of (1/factorial(x))^(1/x)
- Limit of (1+cos(3*x))^(1/cos(x))
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Limit of (1-cos(2*x))/(1-cos(4*x))
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Limit of (1-4*x)/(-2+5*x)
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Identical expressions
- eight - four *x
- 8 minus 4 multiply by x
- eight minus four multiply by x
- 8-4x
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Similar expressions
- 8+4*x
Limit of the function 8-4*x
The solution
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[src]
lim (8 - 4*x) x->2+
$$\lim_{x \to 2^+}\left(8 - 4 x\right)$$
Limit(8 - 4*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
One‐sided limits
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lim (8 - 4*x) x->2+
$$\lim_{x \to 2^+}\left(8 - 4 x\right)$$
0
$$0$$
= -3.42255703094476e-32
lim (8 - 4*x) x->2-
$$\lim_{x \to 2^-}\left(8 - 4 x\right)$$
0
$$0$$
= 3.42255703094476e-32
= 3.42255703094476e-32
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 2^-}\left(8 - 4 x\right) = 0$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(8 - 4 x\right) = 0$$
$$\lim_{x \to \infty}\left(8 - 4 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(8 - 4 x\right) = 8$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(8 - 4 x\right) = 8$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(8 - 4 x\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(8 - 4 x\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(8 - 4 x\right) = \infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(8 - 4 x\right) = 0$$
$$\lim_{x \to \infty}\left(8 - 4 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(8 - 4 x\right) = 8$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(8 - 4 x\right) = 8$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(8 - 4 x\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(8 - 4 x\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(8 - 4 x\right) = \infty$$
More at x→-oo
The graph