Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 10+x^2+3*x^3+8*x
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Limit of (-2+sqrt(x))/(-4+x^2)
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Limit of x+2*x^3+5*x^4-x^2/3
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Limit of (-x^3+2*x+5*x^4)/(1+x^4-8*x^3)
- Integral of d{x}:
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2*x/(-1+x)
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Identical expressions
- two *x/(- one +x)
- 2 multiply by x divide by ( minus 1 plus x)
- two multiply by x divide by ( minus one plus x)
- 2x/(-1+x)
- 2x/-1+x
- 2*x divide by (-1+x)
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Similar expressions
- sin(-2+2*x)/(-1+x^2)
- (-2+2*x)/(-1+x^2)
- 2*x/(-1-x)
- (-3+x^2-2*x)/(-1+x^2)
- (-2+2^x)/(-1+x)
- (-2+2*x)/(-1+x)
- 2*x/(1+x)
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What you mean?
- 2*x/(-1 + x)
- 2*x/(-1) + x
- 2*x/(-1 + x)
- 2*x/(-1) + x
- 2*x/(-1) + x
You entered:
2*x/(-1+x)
What you mean?
Limit of the function 2*x/(-1+x)
The solution
You have entered
[src]
/ 2*x \ lim |------| x->1+\-1 + x/
$$\lim_{x \to 1^+}\left(\frac{2 x}{x - 1}\right)$$
Limit(2*x/(-1 + x), x, 1)
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]
/ 2*x \ lim |------| x->1+\-1 + x/
$$\lim_{x \to 1^+}\left(\frac{2 x}{x - 1}\right)$$
oo
$$\infty$$
= 304.0
/ 2*x \ lim |------| x->1-\-1 + x/
$$\lim_{x \to 1^-}\left(\frac{2 x}{x - 1}\right)$$
-oo
$$-\infty$$
= -300.0
= -300.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(\frac{2 x}{x - 1}\right) = \infty$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{2 x}{x - 1}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{2 x}{x - 1}\right) = 2$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{2 x}{x - 1}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{2 x}{x - 1}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(\frac{2 x}{x - 1}\right) = 2$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{2 x}{x - 1}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{2 x}{x - 1}\right) = 2$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{2 x}{x - 1}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{2 x}{x - 1}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(\frac{2 x}{x - 1}\right) = 2$$
More at x→-oo
The graph