Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5-4*x+3*x^2)/(1-x+2*x^2)
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Limit of ((1+2*x)/(-1+x))^(4*x)
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Limit of (4+x^2-5*x)/(-16+x^2)
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Limit of sinh(x)/x
- Graphing y =:
- 4-x
- Derivative of:
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4-x
- Integral of d{x}:
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4-x
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Identical expressions
- four -x
- 4 minus x
- four minus x
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Similar expressions
- 4+x
- 4^(-x)*factorial(x)
Limit of the function 4-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
One‐sided limits
[src]
lim (4 - x) x->2+
$$\lim_{x \to 2^+}\left(4 - x\right)$$
2
$$2$$
= 2.0
lim (4 - x) x->2-
$$\lim_{x \to 2^-}\left(4 - x\right)$$
2
$$2$$
= 2.0
= 2.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 2^-}\left(4 - x\right) = 2$$
More at x→2 from the left
$$\lim_{x \to 2^+}\left(4 - x\right) = 2$$
$$\lim_{x \to \infty}\left(4 - x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(4 - x\right) = 4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(4 - x\right) = 4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(4 - x\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(4 - x\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(4 - x\right) = \infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+}\left(4 - x\right) = 2$$
$$\lim_{x \to \infty}\left(4 - x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(4 - x\right) = 4$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(4 - x\right) = 4$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(4 - x\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(4 - x\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(4 - x\right) = \infty$$
More at x→-oo
The graph