Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (4-x^2)/(3-x^2)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of 5-9*x+3*x^2/2
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Limit of (-16+x^2)/(-64+x^3)
- Integral of d{x}:
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1/(2-x)
- Graphing y =:
- 1/(2-x)
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Identical expressions
- one /(two -x)
- 1 divide by (2 minus x)
- one divide by (two minus x)
- 1/2-x
- 1 divide by (2-x)
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Similar expressions
- 1/(2+x)
- -1/2-x-1/x+6*x^2
- -1/2-x-3*x/(-8+2*x^2)
- 1/2-x+x^2*log(1+1/x)
- 1/2-x^2+3*x^4
Limit of the function 1/(2-x)
The solution
You have entered
[src]
1 lim ----- x->2+2 - x
$$\lim_{x \to 2^+} \frac{1}{2 - x}$$
Limit(1/(2 - 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 2^-} \frac{1}{2 - x} = -\infty$$
More at x→2 from the left
$$\lim_{x \to 2^+} \frac{1}{2 - x} = -\infty$$
$$\lim_{x \to \infty} \frac{1}{2 - x} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{2 - x} = \frac{1}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{2 - x} = \frac{1}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{2 - x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{2 - x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{2 - x} = 0$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+} \frac{1}{2 - x} = -\infty$$
$$\lim_{x \to \infty} \frac{1}{2 - x} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{2 - x} = \frac{1}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{2 - x} = \frac{1}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{2 - x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{2 - x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{2 - x} = 0$$
More at x→-oo
One‐sided limits
[src]
1 lim ----- x->2+2 - x
$$\lim_{x \to 2^+} \frac{1}{2 - x}$$
-oo
$$-\infty$$
= -151.0
1 lim ----- x->2-2 - x
$$\lim_{x \to 2^-} \frac{1}{2 - x}$$
oo
$$\infty$$
= 151.0
= 151.0
The graph