Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (2+x^2+3*x)/(2+2*x^2+5*x)
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Limit of -sec(x)+tan(x)
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Limit of (asin(x)^2-atan(x)^2+sin(2*x))/(3*x)
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Limit of 1+(4/3)^n
- Graphing y =:
- -8*x
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Identical expressions
- - eight *x
- minus 8 multiply by x
- minus eight multiply by x
- -8x
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Similar expressions
- 8*x
Limit of the function -8*x
The solution
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
$$\lim_{x \to 0^-}\left(- 8 x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- 8 x\right) = 0$$
$$\lim_{x \to \infty}\left(- 8 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(- 8 x\right) = -8$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- 8 x\right) = -8$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- 8 x\right) = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- 8 x\right) = 0$$
$$\lim_{x \to \infty}\left(- 8 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(- 8 x\right) = -8$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- 8 x\right) = -8$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- 8 x\right) = \infty$$
More at x→-oo
One‐sided limits
[src]
lim (-8*x) x->0+
$$\lim_{x \to 0^+}\left(- 8 x\right)$$
0
$$0$$
= -6.84511406188952e-32
lim (-8*x) x->0-
$$\lim_{x \to 0^-}\left(- 8 x\right)$$
0
$$0$$
= 6.84511406188952e-32
= 6.84511406188952e-32
The graph